一类非瞬时脉冲发展方程解的存在性

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一类非瞬时脉冲发展方程解的存在性范虹霞¹, 汪婷婷²1 兰州交通大学数理学院, 兰州 730070;
2 陕西师范大学杨凌实验中学, 咸阳 712100 Existence of Solutions for a Class of Non-instantaneous Impulsive Evolution Equations FAN Hongxia¹, WANG Tingting²1 School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China;
2 Shaanxi Normal University Yangling Experimental Middle School, Xianyang 712100, China

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摘要在Banach空间中研究一类具有记忆型非瞬时脉冲和非局部条件的半线性积分-微分发展方程mild解的存在性和唯一性，利用算子半群理论、Banach压缩原理和Krasnoselskii's不动点定理给出主要结果的证明，进一步得到该问题强解存在的充分条件.与以往具有非瞬时脉冲的发展方程模型相比，本文所讨论的双参数发展系统问题更具有复杂性，所获结论推广和发展了已有的相关结果.最后，通过例子给出了主要结果的一个应用.

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收稿日期: 2019-06-28

PACS:

O175.15

基金资助:国家自然科学基金（11561040）资助项目.

引用本文:

范虹霞, 汪婷婷. 一类非瞬时脉冲发展方程解的存在性[J]. 应用数学学报, 2021, 44(4): 542-552. FAN Hongxia, WANG Tingting. Existence of Solutions for a Class of Non-instantaneous Impulsive Evolution Equations. Acta Mathematicae Applicatae Sinica, 2021, 44(4): 542-552.

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