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

作　　者：陈瑞鹏 李小亚 CHEN Ruipeng;LI Xiaoya(College of Mathematics and Information Science, North Minzu University, Yinchuan 750021, China)

机构地区：[1]北方民族大学数学与信息科学学院

出　　处：《应用数学》2019年第4期805-810,共6页Mathematica Applicata

基　　金：国家自然科学基金(11761004,61761002);北方民族大学重大专项项目(ZDZX201804)

摘　　要：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.

关 键 词：非自治系统 共振 周期解 存在性 Miranda定理 

分 类 号：O175.8[理学—数学]