PSEUDO S-ASYMPTOTICALLY PERIODIC SOLUTIONS OF PARTIAL NEUTRAL DIFFERENTIAL EQUATIONS  

中立型偏微分方程的伪S-渐近周期解

作　　者：LIU Jing-huai ZHANG Li-tao 刘敬怀;张理涛(郑州航空工业管理学院数学学院,河南郑州450046)

机构地区：[1]School of Mathematics,Zhengzhou University of Aeronautics,Zhengzhou 450046,China

出　　处：《数学杂志》2025年第2期140-150,共11页Journal of Mathematics

基　　金：Supported by the National Natural Science Foundation of China(11226337);the Science and Technology Research Projects of Henan Education Committee(22B110017).

摘　　要：In this paper,we study the existence of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations in Banach spaces.By using the principle of Banach contractive mapping,the existence and uniqueness of pseudo S-asymptotically ω-periodic mild solutions of abstract partial neutral differential equations are obtained.To illustrate the ab-stract result,a concrete example is given.本文研究了Banach空间中抽象中立型偏微分方程伪S-渐近ω-周期温和解的存在性.利用Banach压缩映射原理,得到了该类方程伪S-渐近ω-周期温和解的存在性和唯一性.推广了中立型偏微分方程周期温和解的相关结论.

关 键 词：pseudo S-asymptotically!-periodic function mild solution partial neutral differential equations 

分 类 号：O175.2[理学—数学]