In:
Mathematical Methods in the Applied Sciences, Wiley, Vol. 37, No. 16 ( 2014-11-15), p. 2451-2462
Abstract:
In this paper, we study the existence of infinitely many homoclinic solutions for the second‐order self‐adjoint discrete Hamiltonian system , where , and are unnecessarily positive definites for all . By using the variant fountain theorem, we obtain an existence criterion to guarantee that the aforementioned system has infinitely many homoclinic solutions under the assumption that W ( n , x ) is asymptotically quadratic as | x | → + ∞ . Copyright © 2013 John Wiley & Sons, Ltd.
Type of Medium:
Online Resource
ISSN:
0170-4214
,
1099-1476
Language:
English
Publisher:
Wiley
Publication Date:
2014
detail.hit.zdb_id:
1478610-2
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