Existence of Mild Solutions for the Elastic Systems with Structural Damping in Banach Spaces-Reference-Cited by-同舟云学术

Existence of Mild Solutions for the Elastic Systems with Structural Damping in Banach Spaces

Published:2013 Issue: Volume:2013 Page:1-6
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Fan Hongxia¹²,Li Yongxiang²,Chen Pengyu²

Affiliation:

1. Department of Mathematics, Lanzhou Jiaotong University, Lanzhou 730070, China

2. Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Abstract

This paper deals with the existence and uniqueness of mild solutions for a second order evolution equation initial value problem in a Banach space, which can model an elastic system with structural damping. The discussion is based on the operator semigroups theory and fixed point theorem. In addition, an example is presented to illustrate our theoretical results.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2013/746893.pdf

Reference12 articles.

1. A mathematical model for linear elastic systems with structural damping

2. ON THE HOLOMORPHIC PROPERTY OF THE SEMIGROUP ASSOCIATED WITH LINEAR ELASTIC SYSTEMS WITH STRUCTURAL DAMPING

3. Proof of extensions of two conjectures on structural damping for elastic systems

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