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Start Over Descriptor "Strongly indefinite functional" Journal advances in difference equations
1 results on '"Strongly indefinite functional"'

1. Homoclinic orbits for asymptotically linear discrete Hamiltonian systems.

Author

Wang, Xiaoping

Subjects
*LINEAR systems, *DISCRETE systems, *HAMILTONIAN systems, *EXISTENCE theorems, *SELFADJOINT operators
Abstract

We study the existence of homoclinic solutions for the following second-order self-adjoint discrete Hamiltonian system: $\triangle[p(n)\triangle u(n-1)]-L(n)u(n)+\nabla W(n, u(n))=0$, where $p(n)$, $L(n)$, and $W(n, x)$ are N-periodic in n, and $\nabla W(n, x)$ is asymptotically linear in x as $|x|\to\infty$. [ABSTRACT FROM AUTHOR]

Published
2015
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