Positive solutions of nonlinear fourth order iterative differential equations with two-point and integral boundary conditions

Abstract

This paper provides sufficient conditions to guarantee the existence, uniqueness and continuous dependence of positive solutions of a nonlinear fourth order iterative differential equations with two-point and integral boundary conditions. The main arguments are based on the Schauder fixed point theorem to prove the existence of a positive solution. As an application, we given an example to illustrate the obtained results.

Keywords

• positive solutions
• fourth order differential equations
• iterative differential equations
• boundary value problems
• schauder fixed point theorem
• 34b15
• 34k10