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

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}...

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Bibliographic Details
Main Authors: Chengyue Li, Changhua Shi
Format: Article
Language:English
Published: Texas State University 2009-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/120/abstr.html