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.
논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2022.7
- 수록면
- 693 - 703 (11page)
- DOI
- 10.4134/CKMS.c210008
이용수
초록· 키워드
오류제보하기
In this paper, we are concerned with the existence of infinitely many fast homoclinic solutions for the following damped vibration system $$\ddot{u}(t)+q(t)\dot{u}(t)-L(t)u(t)+\nabla W(t,u(t))=0,\ \forall t\in\mathbb{R}, \leqno(1)$$ where $q\in C(\mathbb{R},\mathbb{R})$, $L\in C(\mathbb{R},\mathbb{R}^{N^{2}})$ is a symmetric and positive definite matix-valued function and $W\in C^{1}(\mathbb{R}\times\mathbb{R}^{N},\mathbb{R})$. The novelty of this paper is that, assuming that $L$ is bounded from below unnecessarily coercive at infinity, and $W$ is only locally defined near the origin with respect to the second variable, we show that $(1)$ possesses infinitely many homoclinic solutions via a variant symmetric mountain pass theorem.
목차
등록된 정보가 없습니다.
참고문헌 (0)
참고문헌 신청함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
Infinitely many homoclinic solutions for different classes of fourth-order differential equations
대한수학회논문집
2022 .01
-
HOMOCLINIC SOLUTIONS FOR A PRESCRIBED MEAN CURVATURE RAYLEIGH p-LAPLACIAN EQUATION WITH A DEVIATING ARGUMENT
Journal of applied mathematics & informatics
2015 .01
-
Studies on boundary value problems for bilateral difference systems with one-dimensional Laplacians
한국수학논문집
2015 .01
-
Multiplicity of solutions for a class of non-local elliptic operators systems
대한수학회보
2017 .01
-
On Yau rigidity theorem for submanifolds with parallel mean curvature in a locally symmetric Riemannian manifold
대한수학회보
2024 .09
-
Existence of solutions for fractional $p\&q$-Kirchhoff system in unbounded domain
대한수학회보
2018 .01
-
Multiple solutions for a class of quasilinear Schr\"{o}dinger system in $\mathbb{R}^N$
대한수학회보
2016 .01
-
Infinitely many solutions for a class of modified nonlinear fourth-order elliptic equations on Rn
대한수학회보
2017 .01
-
Existence of infinitely many solutions for a class of nonlocal problems with Dirichlet boundary condition
대한수학회논문집
2019 .01
-
Nonlinear biharmonic equation with polynomial growth nonlinear term
한국수학논문집
2015 .01
-
Multiplicity result of the solutions for a class of the elliptic systems with subcritical Sobolev exponents
한국수학논문집
2015 .01
-
On [m,C]-symmetric Operators
Kyungpook Mathematical Journal
2018 .01
-
Three nontrivial nonnegative solutions for some critical p-Laplacian systems with lower-order negative perturbations
대한수학회보
2017 .01
-
Some symmetric identities of the modified q-Euler polynomials under symmetric group of degree four
Proceedings of the Jangjeon Mathematical Society
2015 .01
-
SKEW COMPLEX SYMMETRIC OPERATORS AND WEYL TYPE THEOREMS
대한수학회보
2015 .01
-
ON APPLICATIONS OF MULTIDIMENSIONAL FIXED POINT THEOREMS
Nonlinear Functional Analysis and Applications
2018 .09
-
ON BASIC ANALOGUE OF CLASSICAL SUMMATION THEOREMS DUE TO ANDREWS
호남수학학술지
2016 .01
-
ON OPTIMAL SOLUTIONS OF WELL-POSED PROBLEMS AND VARIATIONAL INEQUALITIES
Nonlinear Functional Analysis and Applications
2021 .12
-
Generalized derivations in ring with involution involving symmetric and skew symmetric elements
대한수학회논문집
2024 .01
-
SYMMETRIC IDENTITIES OF THE DEGENERATE MODIFIED q-EULER POLYNOMIALS UNDER THE SYMMETRIC GROUP
호남수학학술지
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0