Banach空间阻尼弹性系统L-拟mild解的存在性

数学物理学报 ›› 2020, Vol. 40 ›› Issue (2): 408-421.

Banach空间阻尼弹性系统L-拟mild解的存在性

苟海德()

^{西北师范大学数学与统计学院兰州 730070}

收稿日期:2018-10-24 出版日期:2020-04-26 发布日期:2020-05-21
作者简介:苟海德, E-mail:842204214@qq.com
基金资助:
国家自然科学基金(11661071)

Existence of L-Quasi Mild Solutions for Damped Elastic Systems in Banach Spaces

Haide Gou()

^{Department of Mathematics, Northwest Normal University, Lanzhou 730070}

Received:2018-10-24 Online:2020-04-26 Published:2020-05-21
Supported by:
the NSFC(11661071)

摘要/Abstract

摘要：

该文讨论了Banach空间中具有阻尼弹性系统L-拟mild解的存在性.这些结果改进和推广了一些相关的结论在常微分方程和偏微分方程方面.在非线性项满足单调条件和非紧性测度条件下，获得了该问题极大mild解的存在性.另外，给出例子说明该结果的可行性.

关键词: 弹性系统, mild解, L-拟上下解, 非紧性测度

Abstract:

In this article, we deals with the existence of L-quasi mild solutions for damped elastic systems in Banach spaces. The results improve and extend some relevant results in ordinary differential equations and partial differential equations. Under monotone condition and the noncompactness measure condition on nonlinearity, we obtain the existence of extremal mild solutions. In addition, an example is given to illustrate our results.

Key words: Damped elastic systems, Mild solution, Lower and upper L-quasi solutions, Measure of noncompactness

中图分类号:

O175.15

苟海德. Banach空间阻尼弹性系统L-拟mild解的存在性[J]. 数学物理学报, 2020, 40(2): 408-421.

Haide Gou. Existence of L-Quasi Mild Solutions for Damped Elastic Systems in Banach Spaces[J]. Acta mathematica scientia,Series A, 2020, 40(2): 408-421.

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