Existence and uniqueness of monotone positive solutions for an elastic beam equation with nonlinear boundary conditions. (English) Zbl 1247.74035

Li, Shunyong; Zhang, Xiaoqin

Comput. Math. Appl. 63, No. 9, 1355-1360 (2012).

Summary: We are 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.

MSC:

74K10	Rods (beams, columns, shafts, arches, rings, etc.)
34B15	Nonlinear boundary value problems for ordinary differential equations

Keywords:

existence and uniqueness; monotone positive solution; fixed point theorem of generalized concave operators; elastic beam equation

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