Banach空间阻尼弹性系统L-拟mild解的存在性

Abstract

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

CLC Number:

O175.15

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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References 20

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

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