具有脉冲的非线性耦合积分–微分系统的周期性
Periodic and Asymptotically Periodic Solutions on Nonlinear Coupled Integro-Differential Systems with Impulses
DOI: 10.12677/AAM.2019.81015, PDF,    国家自然科学基金支持
作者: 陈秋凤, 李建利：湖南师范大学，数学与统计学院，湖南 长沙
关键词: 脉冲微分方程；Schauder不动点定理；周期解；渐近周期解；Impulsive Differential Equation； Schauder’s Fixed Point Theorem； Periodic Solutions； Asymptotic Periodic Solutions
摘要: 该文研究了具有脉冲的非线性耦合积分—微分系统的周期性。利用Schauder不动点定理，证明了具有脉冲的非线性耦合积分—微分系统至少存在一个周期解和一个渐近周期解，我们的结果推广和改进了相关文献的结果。
Abstract: In this paper, we study the existence of periodic and asymptotically periodic solutions for a coupled nonlinear Volterra integro-differential equation with impulses. By using Schauder’s fixed point theorem, we obtain that the system has at least one periodic solution and an asymptotically periodic solution.
文章引用：陈秋凤, 李建利. 具有脉冲的非线性耦合积分–微分系统的周期性[J]. 应用数学进展, 2019, 8(1): 135-144. https://doi.org/10.12677/AAM.2019.81015

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