2018 강원경기수학회 학술발표회 및 정기총회

주최 : 강원경기수학회
주관 : 대진대학교 수학과, 성균관대학교 응용대수 및 최적화 연구센터
후원 : 대한수학회

1. 일시 : 2018년 6월 15~16일 (금,토)
2. 장소 : 대진대학교 이공대 나동
- 교통편 및 위치 지도

① 교통편 : 오시는 길
② Campus Map : 캠퍼스 지도

3. 등록 시작 : 6월 15일 (금) 12:30시

4. 학술대회일정 :  (일정은 향후 변경될수 있습니다.)    (프로그램 다운로드)

- 6월 15일 (금)-
○ 12 : 30 ~ 16 : 10 : 접수 및 등록
○ 13 : 20 ~ 13 : 25 : 개 회 사
○ 13 : 25 ~ 13 : 35 : 환 영 사
○ 13 : 35 ~ 14 : 15 : 대중 강연 (서울대 천정희 교수)
○ 14 : 15 ~ 14 : 00 : 휴  식
○ 14 : 20 ~ 14 : 45 : 2017 학술상 수상 기념 강연 (성균관대 천기상 교수)
○ 14 : 45 ~ 15 : 00 : 기념사진 촬영
○ 15 : 00 ~ 16 : 00 : 논문발표 1부
○ 16 : 00 ~ 16 : 20 : 휴  식
○ 16 : 10 ~ 17 : 30 : 논문발표 2부
○ 17 : 30 ~ 17 : 35 : 휴  식
○ 17 : 35 ~ 18 : 00 : 정기총회 (차기회장 선출 등)
○ 18 : 00 ~ 21 : 00 : 연  회

- 6월 16일 (토)
○ 10 : 00 ~ 12 : 00 : 토론회

5. 기타 사항
○ 등록비 : 교수 (2만원), 대학원생(1만원)
○ 만찬장 : (TBA)
○ 숙소 예약 또는 초록접수 등 문의 사항이 있으신 분은 아래 학술대회 준비위원회로 연락 주시기 바랍니다.

6. 초청장 다운로드
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조직위원회
이정례 학술부회장 (jrlee@daejin.ac.kr),
이재진 사업부회장 (jjlee@hallym.ac.kr),
박상돈 총무이사 (sdpark@hknu.ac.kr),

프로그램 위원회
박영호 회장 (yhpark@kangwon.ac.kr),
김병학 편집부회장 (bhkim@khu.ac.kr),



Manager for this system:
Deok-Kyu Jang (Journal Manager) kkms@kangwon.ac.kr

Registration/Abstract Due (발표등록 마감)
발표 등록이 마감되었습니다.


등록된 초록 Tentative Abstracts

  • Beginner's guide to neural networks for the MNIST dataset using MATLAB
    Bitna Kim*, Kangwon National University, kbn0884@naver.com
    Young Ho Park, Kangwon National University
    Abstract: MNIST dataset is a database containing images of handwritten digits, with each image labeled by an integer from 0 to 9. It is used to benchmark the performance of machine learning algorithms. Neural networks for MNIST are regarded as the starting point of the studying machine learning algorithms. However it is not easy to start the actual programming. In this expository article, we will give a step-by-step instruction to build neural networks for MNIST dataset using MATLAB.<br /><br />


    Subject: Applied Math
    Abstract Number : SS-A8-410145203 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-12


  • Additive (s,t)-functional inequalities
    Choonkil Park*, Hanyang University, baak@hanyang.ac.kr

    Abstract: In this talk, we introduce and solve the following additive $(\rho_1, \rho_2)$-functional inequalities
    \begin{eqnarray*}\left\|f\left(x+y\right) - f(x )- f(y)\right\|&\le &\|\rho_1 (f(x-y)-f(x)+f(y))\| \\ &+ & \left\|\rho_2 \left(f(y-x)-f(y)+f(x)\right)\right\|,
    \end{eqnarray*}
    where $\rho_1$ and $\rho_2$ are fixed nonzero complex numbers with $|\rho_1| + |\rho_2| <1$, and
    \begin{eqnarray*} \left\|f\left(x-y\right) - f(x )+ f(y)\right\| &\le &\|\rho_1(f(x+y)-f(x)-f(y))\| \\ &+ &\left\|\rho_2 \left( f(y-x)-f(y)+f(x)\right)\right\|,
    \end{eqnarray*}
    where $\rho_1$ and $\rho_2$ are fixed nonzero complex numbers with $|\rho_1| + |\rho_2| <1$.
    Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the above additive $(\rho_1, \rho_2)$-functional inequalities in complex Banach spaces.

    Subject: Analysis
    Abstract Number : SS-A8-420202310 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-04-20


  • A general elliptic nonlinear system of two functions with application
    Joon Hyuk Kang*, Andrews University, kang@andrews.edu

    Abstract:
    We study mathematical conditions to guarantee the existence of positive solutions to a general non-linear second order system of partial differential equations with homogeneous boundary conditions.
    This result may apply to illustrate biological conditions under which species of animals residing in the same environment can peacefully coexist forever.


    Subject: Applied Math
    Abstract Number : SS-A8-426095851 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-04-26


  • Involute and evolute of rectifying curves in 3D space
    Yun Myung Oh*, Andrews University, ohy@andrews.edu

    Abstract: The idea of rectifying curves in $\mathbf{R}^{3}$ was introduced by B. Y. Chen in 2003 and many characterizations results have been found with applications in kinematics and mechanics. The idea has been generalized to the arbitrary dimension and it is now called the rectifying submanifold. In this project, we are going to investigate the involute and evolute of rectifying curves in $\mathbf{R}^{3}$ and find some characterizations of the curve.

    Subject: Geometry
    Abstract Number : SS-A8-427053723 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-04-27


  • The application of topological method to the analysis of west capital Pyongyangbu map
    Q-Heung Choi*, Inha University, qheung@inha.ac.kr
    Tacksun Jung, Kunsan National University.
    Abstract: We analyse the map of the west capital Pyongyangbu of Old Korea(AD 920) by topological method and geometrical method and compare it with the map of North Korea Pyongyang. By the analyse of the map we find the real corresponding place of the old map. The analysing and finding the real place of the old map is a very good example of geometry education. Many Koreans had learned and recognized that Old Korea(AD 920) was a small country located in the south part of Ablok river. But, after reading this paper they change their old recognitions and they take prides in Great Old Korea.

    Subject: Geometry
    Abstract Number : SS-A8-430154319 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-04-30


  • A modified Banach algebra over paths of bounded variation
    Dong Hyun Cho*, Kyonggi University, j94385@kyonggi.ac.kr
    Bong Jin Kim, Daejin University, Il Yoo, Yonsei University
    Abstract: Let $C[0,T]$ denote a generalized analogue of Wiener space, that is, the space of continuous, real-valued functions on $[0,T]$. In this talk we introduce two Banach algebras: one of them is defined on $C[0,T]$ and the other is a space of equivalence classes of measures over paths of bounded variation on $[0,T]$. We establish an isometric isomorphism between them, and evaluate analytic Feynman integrals of the functions in the Banach algebras which play important roles in the Feynman integration theories and quantum mechanics.

    Subject: Analysis
    Abstract Number : SS-A8-503100211 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-03


  • Immersed Energy bending curve in hypersurface of Lorentzian Space Forms
    Woo Changhwa*, Woosuk University, legalgwch@naver.com
    Oscar J. Garay, Vascue University
    Abstract: We study geodesics in hypersurfaces of a Lorentzian space form ${M^{n+1}}_1(c)$, which are critical curves of the ${M^{n+1}}_1(c)$-bending energy
    functional, for variations constrained to lie on the hypersurface. We characterize critical geodesics showing that they live fully
    immersed in a totally geodesic ${M^{3}}_1(c)$ and that they must be of three different types. Finally, we consider the classification of surfaces
    in the Minkowski 3-space foliated by critical geodesics.

    Subject: Geometry
    Abstract Number : SS-A8-504101855 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-04


  • Real hypersurfaces with generalized Tanaka-Webster parallel shape operator in the complex quadric
    Hyunjin Lee*, Kyungpook National University, lhjibis@hanmail.net
    Young Jin Suh, Kyungpook National University
    Abstract: In the class of Hermitina symmetric spaces of rank 2, usually we can give examples of Riemannian symmetric spaces $SU_{m+2}/S(U_{2} U_{m})$ and $SU_{m,2}/S(U_{2} U_{m})$, which are said to be complex two-plane Grassmannians and complex hyperbolic two-plane Grassmannians, respectively.

    In this talk, we will consider the complex quadric $SO_{m+2}/SO_{m} SO_{2}$ as another kind of Hermitian symmetric space with rank 2 of compact type different from the previous ones, which is a complex hypersurface in complex projective space ${\mathbb C}P^{m}$. And it can be regard as a kind of real Grassmann manifold of compact type with rank 2. Accordingly, the complex quadric admits both a complex conjugation structure $A$ and a Kaehler structure $J$, with anti-commutes with each other, $JA=-AJ$. By using these structures of the ambient space we classify real hypersurfaces with generalized Tanaka-Webster parallel shape operator in the complex quadric.

    Subject: Geometry
    Abstract Number : SS-A8-508173251 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-08


  • Additive rho-functional equations in non-Archimedean Banach spaces
    Eun Hwa Shim*, Daejin University, stareun01@nate.com
    Siriluk Paokanta, Hanyang University
    Abstract: In this paper, we solve the additive $\rho$-functional equations
    \begin{eqnarray*} f(x+y)+ f(x-y)-2f(x) = \rho\left(2 f\left(\frac{x+y}{2}\right)
    + f(x-y )- 2f(x) \right),\end{eqnarray*}
    where $\rho$ is a fixed non-Archimedean number with $|\rho| < 1$,
    and
    \begin{eqnarray*} f\left(\frac{x+y}{2}\right) + f(x-y)- 2 f(x) =\rho(f(x+y)+f(x-y)-2f(x)),
    \end{eqnarray*}
    where $\rho$ is a fixed non-Archimedean number with $|\rho|<|2|$.
    Furthermore, we prove the Hyers-Ulam stability of the above additive
    $\rho$-functional equations in non-Archimedean Banach spaces.


    Subject: Analysis
    Abstract Number : SS-A8-513112346 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-16


  • Characterizations of PvMDs
    Gyu Whan Chang*, Incheon National University, whan@inu.ac.kr

    Abstract: Let $D$ be an integral domain with quotient field $K$, $F(D)$ be the set of nonzero fractional ideals of $D$, and $f(D) = \{I \in F(D) \mid I$ is finitely generated$\}$. For $I \in F(D)$, let $I^{-1} = \{x \in K \mid xI \subseteq D\}$; then $I^{-1} \in F(D)$. Hence, $I_v = (I^{-1})^{-1}$ and $I_t = \bigcup \{J_v \mid J \subseteq I$ and $J \in f(D)\}$ are well-defined nonzero fractional ideals of $D$. We say that $I \in F(D)$ is $t$-invertible if $(II^{-1})_t = D$, and a Pr\"ufer $v$-multiplication domain (P$v$MD) is an integral domain in which every nonzero finitely generated ideal is $t$-invertible. In this talk, we give some new characterizations of P$v$MDs.

    Subject: Algebra
    Abstract Number : SS-A8-515183418 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-15


  • An efficient method for the Cahn-Hilliard equation in complex domains
    Darae Jeong*, Kangwon National University, tinayoyo@kangwon.ac.kr
    Junxiang Yang, Korea University, Junseok Kim, Korea University
    Abstract: In this study, we present a practical and efficient numerical method for the Cahn-Hilliard (CH) equation in the two- and three-dimensional complex domains. We propose a simple mathematical model for the binary mixture in the complex domains. The model is based on the ternary CH system. An arbitrary domain is represented by the third phase, which is fixed during the temporal evolution of the other phases. Using the local conservation of the sum of the phases, we only need to solve a binary CH equation with a source term. For the numerical solution, we use a practically unconditionally gradient stable scheme for the multi-component CH system. Computational experiments are presented to demonstrate the performance and effectiveness of the proposed method. The numerical results confirm that the proposed algorithm can deal with the complex domains efficiently.

    Subject: Applied Math
    Abstract Number : SS-A8-521105935 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-21


  • The Gauge-Uzawa method to solve the non-constant variable desity flows
    Pyo, Jae-Hong*, Kangwon National University, jhpyo@kangwon.ac.kr

    Abstract: The Gauge-Uzawa method [GUM], which is a projection type algorithm
    to solve the time depend Navier-Stokes equations, has been constructed and
    extended to more complicated problems.
    Because the studies on GUM have been performed with the first order
    backward Euler scheme, we have been concentrated to impose BDF2 algorithm.
    But the classical second order GUM displays weak stability behavior.
    Recently, the second order stabilized Gauge-Uzawa method has been
    newly constructed.
    In this talk, we will extend to solve time evolution Navier-Stokes equations
    with variable density. We will present theoretical results for stabilities
    and numerical simulations for air bubble rising in water and Rayleigh-Taylor.

    Subject: Applied math
    Abstract Number : SS-A8-521172825 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-21


  • Corrected Heston's Stochastic Volatility Model for Vunlerable Option
    Min-Ku Lee*, Kunsan National University, mgcorea@kunsan.ac.kr
    Jeong-Hoon Kim, Yonsei University
    Abstract: Fouque et al. [1] introduced the corrected Heston's stochastic volatility model. This research studied the price of the vulnerable options [2] and analyzed the features of the vulnerable options under the corrected Heston's stochastic volatility model.

    [1] Fouque. J.-P., Papanicolaou, G., Sircar, R., Solna. K. (2011) Multiscale Stochastic Volatility for Equity, Interest Rate, and Credit Derivatives, Cambridge University Press.

    [2] Klein, P., Inglis, M. (2011) Pricing Vulnerable European Options When the Option's Payoff can Increase the risk of Financial Distress, Journal of Banking and Finance, 25, 993-1012.

    Subject: Applied Math
    Abstract Number : SS-A8-525195140 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-25


  • On self-dual codes with fixed-point free involution automorphism
    When-Hyuk Choi*, Kangwon National University, whanhyuk@gmail.com

    Abstract: Self-dual codes which have a fixed-point free involution as an automorphism is to be investigated.<br />
    That class of codes is permutation-equivalent to a code C that has the reverse permutation in its automorphism group.
    We classify this class of self-dual code over Galois rings of moderate length.

    Subject: algebra
    Abstract Number : SS-A8-528062641 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-28


  • A survey on high school education using history of mathematics
    Jae Min Chung*, Kyung Hee University, kyungsoo@khu.ac.kr
    Jae Min Chung, Kyung Hee University, Kyungsoo Kim, Kyung Hee University
    Abstract: It has been reported that using history of mathematics is helpful for students to understand mathematics in the classroom. However, it may be difficult to introduce the history of mathematics in high school classess. In this talk, we present the analysis results of a survey on high school education using history of mathematics.

    Subject: Math Education
    Abstract Number : SS-A8-528184612 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-02


  • Fundamental mathematics in Bayesian deep learning
    Kyungsoo Kim*, Kyung Hee University, kyungsoo@khu.ac.kr
    Daehoon Gwak, Kyung Hee University, Dasol Hwang, Kyung Hee University, Hyunho Lee, Kyung Hee University, Kyungsoo Kim, Kyung Hee University
    Abstract: Since conventional deep learning model is a point estimation model that deterministically predicts values, it is difficult to quantify the reliability of the model. The Bayesian deep learning is recently introduced from a stochastic approach to overcome this drawback. In this talk, we present fundamental mathematics in bayesian deep learning. (* Daehoon Gwak, Dasol Hwang, and Hyunho Lee contributed equally to this study as first authors.)

    Subject: Applied Math
    Abstract Number : SS-A8-528185232 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-05


  • Incompressible flows
    *, , joroh@hallym.ac.kr

    Abstract: In this talk, we will consider the incompressible flows on an unbounded domain.
    Then we will see very special properties of the solutions of the incompressible flows on an unbounded domain.
    As a result we will look at the Euler equations on an unbounded domain.

    Subject:
    Abstract Number : SS-A8-530145947 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-05-30


  • Continued fractions of Lucas numbers
    Seunghyun Seo*, Kangwon National University, shyunseo@kangwon.ac.kr

    Abstract: Given nonnegative integer $n$, let $F_n$ and $L_n$ denote the $n$th Fibonacci and Lucas number.
    In 1989, Vajda gave the identity
    \begin{align}
    \frac{F_{m(r+1)}}{F_{mr}}
    =
    L_m + \cfrac{(-1)^m}{
    L_m + \cfrac{(-1)^m}{
    L_m + \cfrac{(-1)^m}{
    \ddots + \cfrac{(-1)^m}{
    L_m}}}},
    \end{align}
    for positive integer $m$ and $r$, where $L_m$ appears $r$ times.
    In this talk, we prove the identity combinatorially, which was asked by Benjamin and Quinn in 2003.
    This is joint work Heesung Shin(Inha University).


    Subject: Algebra
    Abstract Number : SS-A8-601115704 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • Analytic real algebras
    Young Joo Seo*, Daejin University, heekim@hanyang.ac.kr

    Abstract: In this talk, we construct some real algebras by using elementary functions and discuss some relations between several axioms and its related conditions for such functions. We obtain some conditions for real-valued functions to be a d-algebra.

    Subject: Algebra
    Abstract Number : SS-A8-601140929 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • Almost psi-fuzzy semi-ideals in groupoids
    Hee Sik Kim*, Hanyang University, heekim@hanyang.ac.kr

    Abstract: In this talk, we introduce the notions of an almost psi-fuzzy subalgebra and an almost psi-fuzzy semi-ideal in groupoids, which are generalizations of a fuzzy subalgebra and a fuzzy ideal, respectively. We generalize several properties related to fuzzy algebraic structures.

    Subject: Algebra
    Abstract Number : SS-A8-601141614 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • An additive double rho-functional inequality in beta-homogeneous F-spaces
    Sungsik Yun*, Hanshin University, ssyun@hs.ac.kr

    Abstract: In this talk, we solve the following additive double $\rho$-function inequalities
    \begin{eqnarray*}
    \begin{split}
    & \|f(x+y+z)+f(x-y)-f(z)-2f(x)\|\\
    &\leq\|\rho_{1}(f(x+y+z)-f(x)-f(y)-f(z))\|+\|\rho_{2}(f(x+y+z)-f(x+y)-f(z))\|
    \end{split}\end{eqnarray*}
    where $\rho_{1},\rho_{2}$ are fixed complex numbers with $|2\rho_{1}|^{\beta_2}+|\rho_{2}|^{\beta_2}< 1$, and
    \begin{eqnarray*}
    \begin{split}
    & \|f(x+y+z)-f(x)-f(y)-f(z)\|\\
    &\leq\|\rho_{1}(f(x+y+z)+f(x-y)-f(z)-2f(x))\|+\|\rho_{2}(f(x+y+z)-f(x+y)-f(z))\|,
    \end{split}\end{eqnarray*}
    where $\rho_{1},\rho_{2}$ are fixed complex numbers with $|\rho_{1}|^{\beta_2}+|\rho_{2}|^{\beta_2}< 1$, and prove the Hyers-Ulam stability of the additive double $\rho$-functional inequalities in $\beta$-homogeneous F-spaces

    Subject: Analysis
    Abstract Number : SS-A8-601142110 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • Set-valued additive functional equations
    Dong Yun Shin*, University of Seoul, dyshin@uos.ac.kr

    Abstract: In this talk, we introduce set-valued additive functional equations and prove the Hyers-Ulam stability of the set-valued additive functional equations by using the fixed point method.

    Subject: Analysis
    Abstract Number : SS-A8-601142615 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • C*-ternary Jordan bimultipliers in C*-ternary algebras and its applications
    Jung Rye Lee*, Daejin University, jrlee@daejin.ac.kr

    Abstract: In this talk, we use the fixed point method to investigate the
    Hyers-Ulam stability of $C^*$-ternary bimultipliers and $C^*$-ternary Jordan bimultipliers on $C^*$-ternary algebras for the following 2-dimensional functional equation
    $$ f(x+y,z+w)+f(x+y,z-w)+f(x-y,z+w)+f(x-y,z-w)=4f(x,z).$$

    Subject: Analysis
    Abstract Number : SS-A8-601142910 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-01


  • The superstability of a generalized trigonometric functioal equations
    Gwang Hui kim*, Kangnam university, ghkim@kangnam.ac.kr

    Abstract: In this Talk, we study the superstability of the Wilson (generalized cosine) equation and the sine functional equation from the following generalized difference type cosine functional equation
    \begin{align*}
    f(x+y)- g(x-y)=\lambda \cdot h(x)k(y) \;\;\;\; \lambda : constant,
    \end{align*}
    which $f,g,h,k: V \to A$ can be considered the mixed functional equation of the cosine type functions, and the Wilson type functional equations, $V$ is a vector space and $A$ is a unital normed space.

    Subject: Analysis
    Abstract Number : SS-A8-602131446 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-02


  • Introduction to regularity theory for elliptic equations of $p$-Laplacian type
    Jihoon Ok*, Kyung Hee University, jihoonok@khu.ac.kr

    Abstract: In this talk, we discuss with basic regularity results for elliptice equations of $p$-Laplacian type and related topics.

    Subject: Analysis
    Abstract Number : SS-A8-604100238 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-04


  • Lifts of the duadic codes over $Z_{p^e}$
    Kwang Ho Kim*, Kangwon National University, prime229@gmail.com

    Abstract: Quadratic residue codes are duadic codes when the length is prime. We restrict the length $n$ of the duadic codes to prime. If $p$ and the length $n$ are given, we can find the lifts of them over arbitrary $e$ containing the lifts of quadratic residue codes.

    Subject: algebra
    Abstract Number : SS-A8-604143813 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-04


  • Numerical approaches for option pricing under mixed fractional Brownian motion
    Younhee Lee*, Chungnam National University, lyounhee@cnu.ac.kr
    Heungsu Choi, Chungnam National University
    Abstract: In this talk, a mixed fractional Brownian motion (mfBm) is considered to describe long-range dependence in the financial market. We develop numerical methods for pricing European and American options under the mfBm and analyze the stability of these proposed methods. Numerical simulations are carried out to show our analysis results.

    Subject: Applied Mathematics
    Abstract Number : SS-A8-605110651 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-05


  • On the wave-breaking phenomena and global existence for the periodic rotation-two-component Camassa-Holm system
    Byungsoo Moon*, Incheon National University, bsmoon@inu.ac.kr

    Abstract: In this talk, we discuss the periodic rotation-two-component Camassa-Holm system, which can be derived from the f-plane governing equations for the geophysical water waves with a constant underlying current. The nonlocal nonlinearities on blow-up criteria and wave-breaking phenomena are established. Finally, a sufficient condition for global solutions is obtained by using a method of the Lyapunov function.


    Subject: Analysis
    Abstract Number : SS-A8-607164601 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2018-06-07


  • Top Pills Online Matdioria
    Matdioria*, matNego@wmaill.site, matNego@wmaill.site

    Abstract: Propecia Asepsia [url=http://cial20mgprice.com]cialis[/url] Cialis Laboratorios Lilly Over The Counter Deltasone Medication Generique Amoxicillin Pharmacie Gratuit Tablette Pour

    Subject: Top Pills Online Matdioria
    Abstract Number : SS-A8-311105231 [Modifiy] [Delete] (with private passwords)
    Last Modified Date : 2019-03-11


 


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E-mail: kkms@kangwon.ac.kr