Multiple solutions for resonant difference equations

Authors:
Shuli Wang;Jianming Zhang
Affiliations:
Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, P.R. China;Department of Mathematics, Taiyuan University of Technology, Taiyuan, Shanxi, P.R. China
Venue:
WISM'11 Proceedings of the 2011 international conference on Web information systems and mining - Volume Part II
Year:
2011

Citing 4
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Abstract

In this paper, the critical point theory, the minimax methods and Morse theory are employed to discuss the existence of nontrivial solutions for boundary value problems of second-order difference equations with resonance both at infinity and at zero. Some existence results are obtained.