Homoclinic orbits for a singular second-order neutral differential equation

Chengjun Guo; Donald O'Regan; Yuantong Xu; Ravi P. Agarwal

doi:10.13025/26636

Homoclinic orbits for a singular second-order neutral differential equation

Chengjun Guo
, Donald O'Regan
, Yuantong Xu
, Ravi P. Agarwal

Mathematics

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

36 Citations (Scopus)

Abstract

Using critical point theory and an approximation method, we study the existence of homoclinic orbits for a singular second-order neutral differential difference equations. (C) 2010 Elsevier Inc. All rights reserved.

Original language	English (Ireland)
Pages (from-to)	550-560
Number of pages	11
Journal	Journal Of Mathematical Analysis And Applications
Volume	366
Issue number	2
DOIs	https://doi.org/10.13025/26636 https://doi.org/10.1016/j.jmaa.2009.12.038
Publication status	Published - 1 Jun 2010

Keywords

Critical point
delay equations
existence
hamiltonian-systems
Homoclinic orbit
Minimax argument
Neutral differential equations
periodic-solutions
Singular function

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10.13025/26636Licence: CC BY
10.1016/j.jmaa.2009.12.038

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title = "Homoclinic orbits for a singular second-order neutral differential equation",

abstract = "Using critical point theory and an approximation method, we study the existence of homoclinic orbits for a singular second-order neutral differential difference equations. (C) 2010 Elsevier Inc. All rights reserved.",

keywords = "Critical point, delay equations, existence, hamiltonian-systems, Homoclinic orbit, Minimax argument, Neutral differential equations, periodic-solutions, Singular function",

author = "Chengjun Guo and Donald O'Regan and Yuantong Xu and Agarwal, \{Ravi P.\}",

year = "2010",

month = jun,

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language = "English (Ireland)",

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T1 - Homoclinic orbits for a singular second-order neutral differential equation

AU - Guo, Chengjun

AU - O'Regan, Donald

AU - Xu, Yuantong

AU - Agarwal, Ravi P.

PY - 2010/6/1

Y1 - 2010/6/1

N2 - Using critical point theory and an approximation method, we study the existence of homoclinic orbits for a singular second-order neutral differential difference equations. (C) 2010 Elsevier Inc. All rights reserved.

AB - Using critical point theory and an approximation method, we study the existence of homoclinic orbits for a singular second-order neutral differential difference equations. (C) 2010 Elsevier Inc. All rights reserved.

KW - Critical point

KW - delay equations

KW - existence

KW - hamiltonian-systems

KW - Homoclinic orbit

KW - Minimax argument

KW - Neutral differential equations

KW - periodic-solutions

KW - Singular function

UR - http://hdl.handle.net/10379/11762

UR - https://www.scopus.com/pages/publications/76749153752

U2 - 10.13025/26636

DO - 10.13025/26636

M3 - Article

VL - 366

SP - 550

EP - 560

JO - Journal Of Mathematical Analysis And Applications

JF - Journal Of Mathematical Analysis And Applications

IS - 2

ER -

Homoclinic orbits for a singular second-order neutral differential equation

Abstract

Keywords

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