Multiple positive solutions of boundary value problems for systems of nonlinear third-order differential equations. (English) Zbl 1289.34069

Li, Yaohong; Zhang, Xiaoyan

J. Math. Res. Appl. 33, No. 3, 321-329 (2013).

Summary: We consider boundary value problems for systems of nonlinear third-order differential equations. By applying the fixed-point theorem of cone expansion and compression of norm type and the Leggett-Williams fixed-point theorem, the existence of multiple positive solutions is obtained. As applications, we give some examples to illustrate our results.

MSC:

34B18	Positive solutions to nonlinear boundary value problems for ordinary differential equations
47N20	Applications of operator theory to differential and integral equations

Keywords:

boundary value problem; multiple positive solutions; fixed-point theorem