Asymptotic nonuniform nonresonance conditions for a nonlinear discrete boundary value problem

作者：Ma Ruyun^*; O'Regan Donal

来源：Dynamic Systems and Applications, 2008, 17(2): 271-281.

Let T:= {a+1,..., b+1}. We study the solvability of nonlinear discrete two-point boundary value problem
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where h : T -> R, g : R -> R satisfies
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uniformly on T, and alpha and beta satisfy some nonresonance conditions of nonuniform type with respect to two consecutive eigenvalues of the associated linearproblem. The proof is based on the Leray-Schauder continuation theorem.

• 出版日期2008-6
• 单位西北师范大学