Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

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

doi:10.1080/00036811.2010.524154

Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

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

Mathematics

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

21 Citations (Scopus)

Abstract

Using the variational structure and the Z₂ group index theory we establish the existence of subharmonic solutions and homoclinic solutions for a class of even higher order differential equation.

Original language	English
Pages (from-to)	1169-1183
Number of pages	15
Journal	Applicable Analysis
Volume	90
Issue number	7
DOIs	https://doi.org/10.1080/00036811.2010.524154
Publication status	Published - Jul 2011

Keywords

Critical point theory
Higher order differential equation
Homoclinic orbit
Subharmonic solutions
Z group index theory

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10.1080/00036811.2010.524154

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title = "Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations",

abstract = "Using the variational structure and the Z2 group index theory we establish the existence of subharmonic solutions and homoclinic solutions for a class of even higher order differential equation.",

keywords = "Critical point theory, Higher order differential equation, Homoclinic orbit, Subharmonic solutions, Z group index theory",

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

year = "2011",

month = jul,

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T1 - Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

AU - Guo, Chengjun

AU - O'Regan, Donal

AU - Xu, Yuantong

AU - Agarwal, Ravi P.

PY - 2011/7

Y1 - 2011/7

N2 - Using the variational structure and the Z2 group index theory we establish the existence of subharmonic solutions and homoclinic solutions for a class of even higher order differential equation.

AB - Using the variational structure and the Z2 group index theory we establish the existence of subharmonic solutions and homoclinic solutions for a class of even higher order differential equation.

KW - Critical point theory

KW - Higher order differential equation

KW - Homoclinic orbit

KW - Subharmonic solutions

KW - Z group index theory

UR - https://www.scopus.com/pages/publications/79958790260

U2 - 10.1080/00036811.2010.524154

DO - 10.1080/00036811.2010.524154

M3 - Article

SN - 0003-6811

VL - 90

SP - 1169

EP - 1183

JO - Applicable Analysis

JF - Applicable Analysis

IS - 7

ER -

Existence of subharmonic solutions and homoclinic orbits for a class of even higher order differential equations

Abstract

Keywords

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