The existence and multiplicity of solutions of three-point p-Laplacian boundary value problems with one-sided Nagumo condition

Authors:
Jianjun Zhang;Wenbin Liu;Jinbo Ni;Taiyong Chen
Affiliations:
College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu, P. R. China;College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu, P. R. China;College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu, P. R. China;College of Sciences, China University of Mining and Technology, Xuzhou, Jiangsu, P. R. China
Venue:
Journal of Applied Mathematics and Computing
Year:
2007

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Abstract

In this paper, the existence and multiplicity of solutions of three-point p-Laplacian boundary value problems at resonance with one-sided Nagumo condition are studied by using degree theory and upper and lower solutions method. Some known results are improved.