Multiple positive symmetric solutions for the fourth-order iterative differential equations with the IHPH operator

The purpose of this paper is to investigate the existence of positive symmetric solutions for fourth-order iterative systems with two-point integral boundary conditions involving increasing homeomorphism and positive homomorphism operators. Firstly, we establish the existence of at least two positive symmetric solutions by using the Avery-Henderson fixed-point theorem. Later, we derive conditions for the existence of at least three positive symmetric solutions by using the Avery-Peterson fixed-point theorem.

کلیدواژه ها:

Cone ، Fixed-point theorems ، Green’s function ، Iterative system ، Positive symmetric solutions