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非自治二阶微分系统周期解的多重性

Multiplicity of Periodic Solutions for Second Order Nonautonomous Differential Systems
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摘要 考虑带部分周期位势的二阶非自治微分系统的周期解,在具有次线性非线性项时,利用临界点理论得到了多重周期解存在的充分条件. We considered the periodic solutions for second order nonautonomous differential system with partially periodic potential and sublinear nonlinearity.Some sufficient conditions for the existence of multiple periodic solutions are obtained by using critical point theory.
作者 张申贵 刘华
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2016年第5期930-936,共7页 Journal of Jilin University:Science Edition
基金 国家自然科学基金(批准号:31260098) 西北民族大学中央高校基本科研业务费专项基金(批准号:31920130004)
关键词 二阶微分系统 周期解 临界点 second order differential system periodic solution critical point
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