On discrete fourth-order boundary value problems with three parameters

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摘要

In this paper, the existence, multiplicity, and nonexistence results of nontrivial solutions are obtained for discrete nonlinear fourth-order boundary value problems with three parameters. The methods used here are based on the critical point theory and monotone operator theory.

论文关键词:39A10,46N10,34B15,Discrete fourth-order boundary value problems,Green’s function,Critical point theory,Strongly monotone operator principle

论文评审过程:Received 2 September 2009, Revised 27 October 2009, Available online 1 November 2009.

论文官网地址:https://doi.org/10.1016/j.cam.2009.10.032