Monotone Iterative Technique and Symmetric Positive Solutions to Fourth-Order Boundary Value Problem with Integral Boundary Conditions

الملخص EN

The purpose of this paper is to investigate the existence of symmetric positive solutions for a class of fourth-order boundary value problem: u4(t)+βu′′(t)=f(t,u(t),u′′(t)), 0

By using a monotone iterative technique, we prove that the above boundary value problem has symmetric positive solutions under certain conditions.

In particular, these solutions are obtained via the iteration procedures.