Ahlème Bouakkaz, Abdelouaheb Ardjouni, Rabah Khemis, Ahcene Djoudi

Green's Functions for the Fourth-Order Differential Equations

abstract:
The purpose of this work is to establish and study some useful properties of Green's functions of the fourth-order linear differential equation before using them together with the Guo-Krasnosel'skiǐ's fixed point theorem for proving the existence of positive periodic solutions of the fourth-order nonlinear differential equation.

Mathematics Subject Classification: Primary 34K13, 34A34; Secondary 34K30, 34L30

Key words and phrases: Positive periodic solutions, nonlinear differential equations, fixed point theorem, Green's function