Homoclinic solutions of 2nth-order difference equations containing both advance and retardation

• Autorzy: Yuhua Long , Yuanbiao Zhang , Haiping Shi
• Języki publikacji: EN

Abstrakty

EN

By using the critical point method, some new criteria are obtained for the existence and multiplicity of homoclinic solutions to a 2nth-order nonlinear difference equation. The proof is based on the Mountain Pass Lemma in combination with periodic approximations. Our results extend and improve some known ones.

Słowa kluczowe

EN

Homoclinic solutions; 2nth-order; Nonlinear difference equations; Discrete variational theory

Kategorie tematyczne

• 37J45: Periodic, homoclinic and heteroclinic orbits; variational methods, degree-theoretic methods
• 34C37: Homoclinic and heteroclinic solutions
• 39A12: Discrete version of topics in analysis

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2016
• Tom: 14
• Numer: 1
• Strony: 520-530

Daty

wydano

2016-01-01

otrzymano

2015-05-07

zaakceptowano

2016-03-09

online

2016-07-22

Twórcy

autor

Yuhua Long

• School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China and Key Laboratory of Mathematics and Interdisciplinary Sciences of Guangdong Higher Education Institute, Guangzhou University, Guangzhou 510006,

autor

Yuanbiao Zhang

• Packaging Engineering Institute, Jinan University, Zhuhai 519070,

autor

Haiping Shi

• Modern Business and Management Department, Guangdong Construction Polytechnic, Guangzhou 510440,

Identyfikatory

DOI

10.1515/math-2016-0046