一阶非自治共振系统周期解的存在性

Existence of Periodic Solutions of the First-Order Non-Autonomous Systems at Resonance

研究一阶非自治共振系统周期解的存在性,其中非线性项为连续周期函数.运用Miranda定理和Schauder不动点定理,本文为上述系统建立周期解存在性的新结果.所得结论丰富并补充已有文献的相关结论.

This paper studies the existence of periodic solutions of the first-order non-autonomous systems at resonance, where nonlinear terms are periodic continuous functions. Several new existence results are established by means of Miranda’s theorem and Schauder’s fixed point theorem. Our results enrich and complement those available in the literature.