Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/33295
Title: Nonlinear impulsive systems on infinite dimensional spaces
Authors: Ahmed, NU
Teo, KL
Hou, SH
Keywords: Embedding
Impulsive
Infinite dimensional spaces
Nonlinear
Signed measures
Systems
Vector measures
Issue Date: 2003
Publisher: Pergamon-Elsevier Science Ltd
Source: Nonlinear analysis, theory, methods and applications, 2003, v. 54, no. 5, p. 907-925 How to cite?
Journal: Nonlinear Analysis, Theory, Methods and Applications 
Abstract: In this paper we consider two different classes of nonlinear impulsive systems one driven purely by Dirac measures at a fixed set of points and the second driven by signed measures. The later class is easily extended to systems driven by general vector measures. The principal nonlinear operator is monotone hemicontinuous and coercive with respect to certain triple of Banach spaces called Gelfand triple. The other nonlinear operators are more regular, non-monotone continuous operators with respect to suitable Banach spaces. We present here a new result on compact embedding of the space of vector-valued functions of bounded variation and then use this result to prove two new results on existence and regularity properties of solutions for impulsive systems described above. The new embedding result covers the well-known embedding result due to Aubin.
URI: http://hdl.handle.net/10397/33295
ISSN: 0362-546X
DOI: 10.1016/S0362-546X(03)00117-2
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