Existence and multiplicity of homoclinic solutions for second-order discrete Hamiltonian systems with subquadratic potential

摘要

In the present paper, we deal with the existence and multiplicity of homoclinic solutions of the second-order self-adjoint discrete Hamiltonian system where and are neither autonomous nor periodic in n. Under the assumption that is indefinite sign and subquadratic as and p(n) and L(n) are N × N real symmetric positive definite matrices for all , we establish some existence criteria to guarantee that the above system has at least one or multiple homoclinic solutions by using Clark's theorem in critical point theory.View full textDownload full textKeywordshomoclinic solution, discrete Hamiltonian system, critical point, Clark's theorem2000 Mathematics Subject Classification:39A11, 58E05, 70H05Related var addthis_config = { ui_cobrand: "Taylor & Francis Online", services_compact: "citeulike,netvibes,twitter,technorati,delicious,linkedin,facebook,stumbleupon,digg,google,more", pubid: "ra-4dff56cd6bb1830b" }; Add to shortlist Link Permalink http://dx.doi.org/10.1080/10236191003730514