一类二阶迭代微分方程的伪概周期解OA
Pseudo Almost Periodic Solutions for a Class of Second-Order Iterative Differential Equations
本文主要研究一类二阶迭代微分方程的伪概周期解.我们首先利用Tikhonov不动点定理证明了此类方程伪概周期解的存在性,进一步用压缩映像原理证明了伪概周期解的唯一性,最后证明了这类解的稳定性,并将定理应用到几个例子上.
This paper mainly studies the pseudo almost periodic solutions of a second-order iterative differential equation.First,using Tikhonov fixed point theorem,we get the existence of the pseudo almost periodic solutions of this equation.Further,the uniqueness and stability of the pseudo almost periodic solutions have been proved by Contraction mapping principle,and apply our results to some examples.
魏祖兰;赵侯宇;陈焦
重庆师范大学数学科学学院,重庆 401331重庆师范大学数学科学学院,重庆 401331重庆师范大学数学科学学院,重庆 401331
数理科学
迭代微分方程伪概周期解存在性唯一性
Iterative differential equationPseudo almost periodic solutionExistenceUniqueness
《应用数学》 2026 (2)
436-443,8
国家自然科学基金(12271070,12471153)重庆市留创计划(cx2023094)重庆市教委科技项目(KJQN202100524)
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