Existence and Multiplicity Results of Homoclinic Solutions for the DNLS Equations with Unbounded Potentials. (17th October 2012)

• Record Type: Journal Article
• Authors: Ma, Defang; Zhou, Zhan
• Other Names: Zou Wenming Academic Editor.
• Is Part Of: Abstract and applied analysis. Volume 2012(2012)
• Publication Date: 2012-10-17
• Subjects: Mathematical analysis -- Periodicals; Mathematical analysis; Applied Mathematics; Mathematical Analysis; Periodicals; 515.05
• DOI: 10.1155/2012/703596
• Languages: English
• ISSNs: 1085-3375

Abstract

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