Existence and uniqueness of periodic solutions for a system of differential equations via operator methods

[摘要] This article investigates the existence and uniqueness of periodic solutions for a new system of differential equations. By employing fixed point theorems for increasing φ-$(h,\tau )$-concave operators, we establish the existence of unique periodic solution for our differential system and then give a monotone iterative scheme to approximate the unique periodic solution. Some examples are presented in the end to illustrate the validity of our main results.

[学科分类] 航空航天科学

[关键词] Differential system;Periodic solution;Existence and uniqueness;φ;\((h;\tau)\) -concave operator