https://link.springer.com/10.1007%2Fs00009-017-0930-x
articles
https://scigraph.springernature.com/explorer/license/
Multiple of Homoclinic Solutions for a Perturbed Dynamical Systems with Combined Nonlinearities
2017-06-01
2017-06
research_article
132
en
In this paper, we study the existence of multiple and infinite homoclinic solutions for the following perturbed dynamical systems x¨+A·x˙-L(t)·x+∇W(t,x)=f(t),where t∈R,x∈RN,A is an antisymmetric constant matrix, the matrix L(t) is not necessary positive definite for all t∈R nor coercive, the nonlinearity W∈C1(R×RN,R) involves a combination of superquadratic and subquadratic terms and is allowed to be sign-changing and f∈C(R,RN)∩L2(R,RN). Recent results in the literature are generalized and significantly improved and some examples are also given to illustrate our main theoretical results.
2019-04-11T09:50
false
44a3a1641f85d49f496df6af36ef0ae5cd5579f958caa2795c40861dcacdeb70
readcube_id
1660-5446
1660-5454
Mediterranean Journal of Mathematics
Department of Mathematics, Higher Institute of Informatics and Mathematics, 5000, Monastir, Tunisia
Springer Nature - SN SciGraph project
doi
10.1007/s00009-017-0930-x
Pure Mathematics
Mathematical Sciences
Abderrazek
Benhassine
pub.1085209103
dimensions_id
3
14