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Periodic solutions for second-order difference equations with resonance at infinity

Author:
Tan, Fenghua   Guo, Zhiming  


Journal:
Journal of Difference Equations and Applications


Issue Date:
2012


Abstract(summary):

By using the critical point theory and a Z(p) geometrical index theory, some sufficient conditions are obtained for the existence and multiplicity of periodic solutions to the following non-linear second-order difference equation Delta(2) x(n-1) + f(x(n)) = 0, where f is an element of C(R, R) is resonant at infinity.


Page:
149-161


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