Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions

Authors:
Shunyong Li;Xiaoqin Zhang
Affiliations:
School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, PR China and School of Computer and Information Technology, Shanxi University, Taiyuan 030006, Shanxi, PR China;School of Mathematical Sciences, Shanxi University, Taiyuan 030006, Shanxi, PR China
Venue:
Computers & Mathematics with Applications
Year:
2012

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Abstract

This paper is concerned with the existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. The proof of our main results is based upon a new fixed point theorem of generalized concave operators.