Multiple of Homoclinic Solutions for a Perturbed Dynamical Systems with Combined Nonlinearities View Full Text


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Article Info

DATE

2017-06

AUTHORS

Abderrazek Benhassine

ABSTRACT

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. More... »

PAGES

132

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s00009-017-0930-x

DOI

http://dx.doi.org/10.1007/s00009-017-0930-x

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1085209103


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