Positive Solutions of nth-Order Boundary Value Problems with Integral Boundary Conditions

Abstract

In this paper, by using double fixed point theorem and a new fixed point theorem, some sufficient conditions for the existence of at least two and at least three positive solutions of an nth-order boundary value problem with integral boundary conditions are established, respectively. We also give two examples to illustrate our main results.

Keywords:

• boundary value problems
• fixed point theorem
• positive solutions
• integral boundary conditions

AMS Subject Classification:

• 34B15
• 34B18