05980035

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05980035 Wang, Shuli Zhang, Jianming Multiple solutions for resonant difference equations. Gong, Zhiguo (ed.) et al., Web information systems and mining. International conference, WISM 2011, Taiyuan, China, September 24--25, 2011, Proceedings, Part II. Berlin: Springer (ISBN 978-3-642-23981-6/pbk). Lecture Notes in Computer Science 6988, 57-64 (2011). 2011 Berlin: Springer EN Difference equation Resonance Critical group Morse theory Local linking

doi:10.1007/978-3-642-23982-3_8

Summary: 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.