지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
We show the existence of the unique solution of the following system of the nonlinear wave equations with Dirichlet boundary conditions and periodic conditions under some conditions $U_{tt}-U_{xx}+av^+=s{\phi}_{00}+f$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, ${\upsilon}_{tt}-{\upsilon}_{xx}+bu^+=t{\phi}_{00}+g$ in $(-{\frac{\pi}{2},{\frac{\pi}{2}}){\times}R$, where $u^+$ = max{u, 0}, s, t ${\in}$ R, ${\phi}_{00}$ is the eigenfunction corresponding to the positive eigenvalue ${\lambda}_{00}$ of the wave operator. We first show that the system has a positive solution or a negative solution depending on the sand t, and then prove the uniqueness theorem by the contraction mapping principle on the Banach space.
목차
등록된 정보가 없습니다.
참고문헌 (7)
참고문헌 신청
K. C. Chang / 1993 / Infinite dimensional Morse theory and multiple solution problems / Birkh¨auser
Q. H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Differential Equations 117:390~410
T. Jung / The existence of a positive solution of the system of the nonlinear wave equations with jumping nonlinearities, Nonlinear Analysis, TMA., to be appeared
Q. H. Choi / 1999 / Multiple periodic solutions of a semilinear wave equation at double external resonances / Communications in Applied Analysis 3(1):73~84
Q. H. Choi / 1995 / Multiplicity results for nonlinear wave equations with nonlinearities crossing eigenvalues / Hokkaido Mathematical Journal 24(1):53~62
Q. H. Choi / 1995 / An application of a variational reduction method to a nonlinear wave equation / J. Differential Equations 117:390~410
T. Jung / The existence of a positive solution of the system of the nonlinear wave equations with jumping nonlinearities, Nonlinear Analysis, TMA., to be appeared
Q. H. Choi / 1999 / Multiple periodic solutions of a semilinear wave equation at double external resonances / Communications in Applied Analysis 3(1):73~84
Q. H. Choi / 1995 / Multiplicity results for nonlinear wave equations with nonlinearities crossing eigenvalues / Hokkaido Mathematical Journal 24(1):53~62
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
THE STUDY OF THE SYSTEM OF NONLINEAR WAVE EQUATIONS
충청수학회지
2007 .01
-
NEW SERIES IDENTITIES FOR n/1
대한수학회논문집
2017 .01
-
JACOBI'S THETA FUNCTIONS AND THE NUMBER OF REPRESENTATIONS OF A POSITIVE INTEGER AS A SUM OF FOUR TRIANGULAR NUMBERS
호남수학학술지
2016 .01
-
UNIQUENESS RESULTS FOR THE NONLINEAR HYPERBOLIC SYSTEM WITH JUMPING NONLINEARITY
호남수학학술지
2007 .01
-
MULTIPLE SOLUTIONS FOR THE SYSTEM OF NONLINEAR BIHARMONIC EQUATIONS WITH JUMPING NONLINEARITY
충청수학회지
2007 .01
-
FOR THE HYERS-ULAM-RASSIAS STABILITY OF A QUADRATIC FUNCTIONAL EQUATION
Journal of applied mathematics & computing
2004 .01
-
ON THE DYNAMICS OF $x_{n+1}=\frac{a+x_{n-1}x_{n-k}}{x_{n-1}+x_{n-k}}$
Journal of applied mathematics & informatics
2014 .01
-
An Extension of the Contraction Mapping Theorem
순수 및 응용수학
2007 .01
-
NEW EXACT SOLUTIONS OF SOME NONLINEAR EVOLUTION EQUATIONS BY SUB-ODE METHOD
호남수학학술지
2013 .01
-
Multiple solutions for a suspending beam equation and the geometry of the mapping
한국수학논문집
2009 .01
-
NORMAL NUMBERS MOD 2 ON THE LOGISTIC MAP
호남수학학술지
2013 .01
-
ON THE DIFFERENCE EQUATION $x_{n+1}\;=\;{\alpha}\;+\;{\frac {x^p_n}{x^p_{n-1}}}$
Journal of applied mathematics & computing
2007 .01
-
HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION IN THREE VARIABLES
충청수학회지
2003 .01
-
POSITIVE SOLUTIONS OF THE SECOND-ORDER SYSTEM OF DIFFERENTIAL EQUATIONS IN BANACH SPACES
Journal of applied mathematics & informatics
2010 .01
-
STABILITY OF SOME GENERALIZED QUADRATIC FUNCTIONAL EQUATION
충청수학회지
2001 .01
-
ADDITIVE-QUADRATIC ρ-FUNCTIONAL INEQUALITIES IN FUZZY NORMED SPACES
순수 및 응용수학
2016 .01
-
GENERALIZED HYERS-ULAM-RASSIAS STABILITY OF A FUNCTIONAL EQUATION IN THREE VARIABLES
충청수학회지
2005 .01
-
Existence and uniqueness theorems of second-order equations with integral boundary conditions
대한수학회보
2018 .01
-
ON THE DIFFERENCE EQUATION $x_{n+1}=\frac{a+bx_{n-k}-cx_{n-m}}{1+g(x_{n-l})}$
Journal of applied mathematics & computing
2007 .01
-
Six solutions for the semilinear wave equation with nonlinearity crossing three eigenvalues
한국수학논문집
2012 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0