Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces

This paper deals with the positive solutions of nonlinear boundary value problems in Banach spaces. By using fixed point index theory, some sufficient conditions for the existence of at least one or two positive solutions to boundary value problems in Banach spaces are obtained. An example illustrating the main results is given.

Anahtar Kelimeler:

Positive solutions; boundary value problem; Banach spaces; fixed point index.

Multiple Positive Solutions for Nonlinear Third-Order Boundary Value Problems in Banach Spaces

Keywords:

Positive solutions; boundary value problem; Banach spaces; fixed point index.,

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School of Mathematics and Physics J iangsu Polytechnic University Changzhou, Jiangsu , P. R. CHINA e-mail: fengwangl88©163.com Hai—hua LU School of Science Nantong University Nantong, Jiangsu , P. R. CHINA e-mail: haihualu@ntu.edu.cn Fang ZHANG School of Mathematics and Physics J iangsu Polytechnic University Changzhou, Jiangsu , P. R. CHINA e-mail: Zhangfang@t0m.com