On discrete fourth-order boundary value problems with three parameters

Authors:
Tieshan He;Yueliang Su
Affiliations:
Department of Computation Science, Zhongkai University of Agriculture and Engineering, Guangzhou, Guangdong 510225, People's Republic of China;School of Business Administration, South China University of Technology, Guangzhou, Guangdong 510640, People's Republic of China
Venue:
Journal of Computational and Applied Mathematics
Year:
2010

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Abstract

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.