POSITIVE SOLUTIONS OF SECOND-ORDER NEUMANN BOUNDARY PROBLEM WITH A PARAMETER

Authors

  • Yang-Wen Zhang Sichuan University
  • Hong-Xu Li Sichuan University

Keywords:

Dependence of parameter, Neumann boundary value problem, positive solution, fixed point theorem

Abstract

In this paper, we consider the second-order Neumann boundary value problem with a parameter. By using fixed point theorems in a cone, some existence, multiplicity, and nonexistence results for positive solutions are obtained in terms of different values of the parameter, and an existence and uniqueness theorem as well as the result of continuous dependence of solutions on the parameter are proved. DOI: 10.1017/S0004972712000159

Author Biographies

Yang-Wen Zhang, Sichuan University

Department of Mathematics

Hong-Xu Li, Sichuan University

Department of Mathematics

Published

2012-08-27

Issue

Vol. 86 No. 2 (2012)

Section

Articles
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