Infinitely homoclinic solutions in discrete hamiltonian systems without coercive conditions
In this paper, we investigate the existence of infinitely many solutions for the second-order self-adjoint discrete Hamiltonian system $$ \Delta\left[p(n)\Delta u(n-1)\right]-L(n)u(n)+\nabla W(n,u(n))=0, \tag{*} $$ where \(n\in\mathbb{Z}, u\in\mathbb{R}^{N}, p,L:\mathbb{Z}\rightarrow\mathbb{R}^{N\t...
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| Format: | Article |
| Language: | English |
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Publishing House of the Romanian Academy
2020-09-01
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| Series: | Journal of Numerical Analysis and Approximation Theory |
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| Online Access: | https://www.ictp.acad.ro/jnaat/journal/article/view/1204 |