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MULTIPLICITY RESULTS FOR THE WAVE SYSTEM USING THE LINKING THEOREM
Nam, Hyewon The Kangwon-Kyungki Mathematical Society 2013 한국수학논문집 Vol.21 No.2
We investigate the existence of solutions of the one-dimensional wave system $$u_{tt}-u_{xx}+{\mu}g(u+v)=f(u+v)\;\;in\;(-\frac{\pi}{2},\frac{\pi}{2}){\times}R,\\v_{tt}-v_{xx}+{\nu}g(u+v)=f(u+v)\;\;in\;(-\frac{\pi}{2},\frac{\pi}{2}){\times}R,$$ with Dirichlet boundary condition. We find them by applying linking inequlaities.
NAM, HYEWON The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.4
By linking theorem, we prove the existence of nontrivial solutions for the elliptic system with jumping nonlinearity and growth nonlinearity and Dirichlet boundary condition.
AN APPLICATION OF A LINKING METHOD TO A GENERAL ELLIPTIC SYSTEM
Nam, Hyewon The Kangwon-Kyungki Mathematical Society 2010 한국수학논문집 Vol.18 No.1
In this work, we consider an elliptic system of three equations in dimension greater than one. We prove that the system has at least three nontrivial solutions by applying a linking theorem.
NONTRIVIAL SOLUTIONS FOR AN ELLIPTIC SYSTEM
Nam, Hyewon,Lee, Seong Cheol The Kangwon-Kyungki Mathematical Society 2015 한국수학논문집 Vol.23 No.1
In this work, we consider an elliptic system $$\left{\array {-{\Delta}u=au+bv+{\delta}_1u+-{\delta}_2u^-+f_1(x,u,v) && in\;{\Omega},\\-{\Delta}v=bu+cv+{\eta}_1v^+-{\eta}_2v^-+f_2(x,u,v) && in\;{\Omega},\\{\hfill{70}}u=v=0{\hfill{90}}on\;{\partial}{\Omega},}$$, where ${\Omega}{\subset}R^N$ be a bounded domain with smooth boundary. We prove that the system has at least two nontrivial solutions by applying linking theorem.
THE INVESTIGATION OF MULTIPLICATION OF SUSPENSION BRIDGE EQUATION USING LINKING THEORY
Nam, Hyewon The Kangwon-Kyungki Mathematical Society 2007 한국수학논문집 Vol.15 No.1
It is well known that a suspension bridge may display certain oscillations under external aerodynamic forces. Under the action of a strong wind, in particular, a narrow and very flexible suspension bridge can undergo dangerous oscillations. So it would be very contributive to determine under what conditions a similar situation cannot occur, and find out safe parameters of the bridge construction. In this paper, we investigate relations between the multiplicity of solutions and nonlinear terms in this suspension bridge equation using critical point theorem and linking theorem.
THE EXISTENCE OF THE SOLUTION OF ELLIPTIC SYSTEM APPLYING TWO CRITICAL POINT THEOREM
Nam, Hyewon Chungcheong Mathematical Society 2018 충청수학회지 Vol.31 No.1
This paper deals with the study of solutions for the elliptic system with jumping nonlineartity and growth nonlinearity and Dirichlet boundary condition. We apply the two critical point theorem when proving the existence of nontrivial solutions for the elliptic system. We define the energy functional associated to the elliptic system and prove that the functional has two critical values.
APPLICATION OF LINKING FOR AN ELLIPTIC SYSTEM
Nam, Hyewon The Kangwon-Kyungki Mathematical Society 2009 한국수학논문집 Vol.17 No.2
In this article we consider nontrivial solutions of an elliptic system in the bounded smooth domain with homogeneous Dirichlet data. We apply the linking theorem for showing the existence results that is obtained by Massa.
MULTIPLICITY RESULTS FOR THE ELLIPTIC SYSTEM USING THE MINIMAX THEOREM
Nam, Hyewon The Kangwon-Kyungki Mathematical Society 2008 한국수학논문집 Vol.16 No.4
In this paper, we consider an elliptic system of three equations using the minimax theorem. We prove the existence of two solutions for suitable forcing terms, under a condition on the linear part which prevents resonance with eigenvalues of the operator.
남혜원(Nam, Hyewon) 한국문화융합학회 2020 문화와 융합 Vol.42 No.9
이 논문의 목적은 창의·융합 인재 양성을 위한 중요과목 중의 하나인 수학 교과목의 효과적인 학습 체계 수립을 위한 방법을 제시하는 것이다. 이 연구의 내용은 수학 개념을 포함한 자연과학과 문학작품 및 대중문화를 이용한 글쓰기를 접목한 융합교과목을 개발하는 것이다. 교과목 개발 절차는 분석, 설계, 개발, 실행, 평가의 5단계로 구성된 대표적인 교수설계모형인 ADDIE 모형에 따라 설계하였다. 개발된 융합교과목의 실행은 공식의 암기와 문제 풀이형식의 수학 교과목 학습 방법에 지친 학습자에게 새로운 접근 방법을 제시함으로 교과목의 흥미를 유발하여 적극적으로 학습하는 자기주도 학습을 가능하게 했다. The purpose of this paper is to present a method for establishing an effective learning system for mathematics, which is an important subject for creative and convergence talent training. A convergence course that combines natural science and writing was developed for this study. The course development process was designed according to the ADDIE model, which is a representative teaching design model composed of five steps. The developed convergence subjects stimulated interest and made self-directed learning possible by presenting new approaches to learners.