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

Hongxia Fan | Zendy; Yongxiang Li | Zendy; Pengyu Chen | Zendy

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

Author(s) -

Hongxia Fan,

Yongxiang Li,

Pengyu Chen

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/746893

Subject(s) - mathematics , uniqueness , banach space , fixed point theorem , operator (biology) , mathematical analysis , order (exchange) , picard–lindelöf theorem , space (punctuation) , initial value problem , fixed point , pure mathematics , biochemistry , chemistry , linguistics , philosophy , finance , repressor , transcription factor , economics , gene

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

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