A study on decay mild solutions for damped elastic systems in Banach spaces

被引：2

作者：

Gou, Haide ^{[1
]}

Ma, Weifeng ^{[1
]}

机构：

[1] Northwest Normal Univ, Dept Math, Lanzhou 730070, Peoples R China

来源：

MONATSHEFTE FUR MATHEMATIK | 2023年 / 202卷 / 3期

基金：

中国国家自然科学基金;

关键词：

Damped elastic systems; Decay mild solution; Measure of noncompactness; Nonlocal conditions; P-MAXIMAL REGULARITY; MATHEMATICAL-MODEL; EQUATIONS; ANALYTICITY; SEMIGROUPS; EXISTENCE; BEHAVIOR;

D O I：

10.1007/s00605-023-01883-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The goal of this paper is to consider damped elastic systems with nonlocal conditions in the framework of Banach spaces. Our first aim is to investigate the existence of mild solutions to damped elastic systems by means of fixed point for condensing maps avoiding the hypothesis of compactness on the semigroup. The second step of the paper is to study the existence of decay mild solutions to the mentioned problems. The obtained results can be applied to the nonlinear vibration equation of structural damping elastic beams with nonlocal conditions.

引用

页码：515 / 539

页数：25

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