Proof of two conjectures by G. Chen and D. L. Russell on structural damping for elastic systems

1988 ◽  
pp. 234-256 ◽  
Author(s):  
Shuping Chen ◽  
Roberto Triggiani
Keyword(s):  
Structural Damping ◽  
Elastic Systems

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

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Hongxia Fan ◽  
Yongxiang Li ◽  
Pengyu Chen
Keyword(s):  
Banach Space ◽  
Fixed Point ◽  
Existence And Uniqueness ◽  
Elastic System ◽  
Mild Solutions ◽  
Structural Damping ◽  
Initial Value ◽  
Operator Semigroups ◽  
Elastic Systems ◽  
Theoretical Results

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.

Exponential decay for elastic systems with structural damping and infinite delay

2018 ◽  
Vol 99 (1) ◽  
pp. 13-28 ◽  
Author(s):  
Vu Trong Luong ◽  
Nguyen Thanh Tung
Keyword(s):  
Exponential Decay ◽  
Infinite Delay ◽  
Structural Damping ◽  
Elastic Systems
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