Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials | Zendy

Defang Ma | Zendy; Zhan Zhou | Zendy

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Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials

Author(s) -

Defang Ma,

Zhan Zhou

Publication year - 2012

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2012/703596

Subject(s) - mathematics , homoclinic orbit , multiplicity (mathematics) , fountain , nonlinear system , class (philosophy) , mathematical analysis , mountain pass , pure mathematics , bifurcation , physics , quantum mechanics , archaeology , artificial intelligence , computer science , history

A class of difference equations which include discrete nonlinear Schrödingerequations as special cases are considered. New sufficient conditions of the existenceand multiplicity results of homoclinic solutions for the difference equations are obtainedby making use of the mountain pass theorem and the fountain theorem, respectively. Recent results in the literature are generalized and greatly improved

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