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