Existence of homoclinic orbits for a class of first-order differential difference equations

Donal O'Regan

doi:10.1016/S0252-9602(15)30041-2

Existence of homoclinic orbits for a class of first-order differential difference equations

Donal O'Regan

Mathematics

Guangdong University of Technology
King Abdulaziz University
Sun Yat-Sen University
Texas A&M University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

7 Citations (Scopus)

Abstract

In this article we consider via critical point theory the existence of homoclinic orbits of the first-order differential difference equation z˙(t) + B(t)z(t) + f(t,z(t+τ), z(t), z(t-τ)) = 0.

Original language	English (Ireland)
Pages (from-to)	1077-1094
Number of pages	17
Journal	Acta Math. Sci. Ser. B Engl. Ed.
Volume	35
Issue number	5
DOIs	https://doi.org/10.1016/S0252-9602(15)30041-2
Publication status	Published - 1 Jan 2015

Keywords

Critical point theory
Differential difference equation
Homoclinic solutions

Authors (Note for portal: view the doc link for the full list of authors)

Authors
Guo, Chengjun and O'Regan, Donal and Xu, Yuantong and Agarwal, Ravi P.

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10.1016/S0252-9602(15)30041-2

Cite this

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title = "Existence of homoclinic orbits for a class of first-order differential difference equations",

abstract = "In this article we consider via critical point theory the existence of homoclinic orbits of the first-order differential difference equation z˙(t) + B(t)z(t) + f(t,z(t+τ), z(t), z(t-τ)) = 0.",

keywords = "Critical point theory, Differential difference equation, Homoclinic solutions",

author = "Donal O'Regan",

note = "Publisher Copyright: {\textcopyright} 2015 Wuhan Institute of Physics and Mathematics.",

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AB - In this article we consider via critical point theory the existence of homoclinic orbits of the first-order differential difference equation z˙(t) + B(t)z(t) + f(t,z(t+τ), z(t), z(t-τ)) = 0.

KW - Critical point theory

KW - Differential difference equation

KW - Homoclinic solutions

UR - https://www.scopus.com/pages/publications/84938336152

U2 - 10.1016/S0252-9602(15)30041-2

DO - 10.1016/S0252-9602(15)30041-2

M3 - Article

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EP - 1094

JO - Acta Math. Sci. Ser. B Engl. Ed.

JF - Acta Math. Sci. Ser. B Engl. Ed.

IS - 5

ER -

Existence of homoclinic orbits for a class of first-order differential difference equations

Abstract

Keywords

Authors (Note for portal: view the doc link for the full list of authors)

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