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Linking method for periodic non-autonomous fourth-order differential equations with superquadratic potentials

Authors :
Chengyue Li
Changhua Shi
Source :
Electronic Journal of Differential Equations, Vol 2009, Iss 120,, Pp 1-11 (2009)
Publication Year :
2009
Publisher :
Texas State University, 2009.

Abstract

By means of the Schechter's Linking method, we study the existence of 2T-periodic solutions of the non-autonomous fourth-order ordinary differential equation $$ u''''-Au''-Bu-V_u(t,u)=0 $$ where $A>0$, $B>0$, $V(t,u)in mathbb{C}^1(mathbb{R}imesmathbb{R}, mathbb{R})$ is 2T-periodic in t and satisfies either $02$, or $u V_u(t,u)-2V(t,u)geq d_3|u|^r$ with $rgeq 1$.

Details

Language :
English
ISSN :
10726691
Volume :
2009
Issue :
120,
Database :
Directory of Open Access Journals
Journal :
Electronic Journal of Differential Equations
Publication Type :
Academic Journal
Accession number :
edsdoj.806b8b1c45d1432c96b81f259654bbc0
Document Type :
article