PERTURBATION AND COMPARISON OF COSINE OPERATOR-FUNCTIONS

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/28034

Title:	PERTURBATION AND COMPARISON OF COSINE OPERATOR-FUNCTIONS
Authors:	PISKAREV,S;SHAW,SY
Contributors:	數學研究所
Keywords:	SEMIGROUPS
Date:	1995
Issue Date:	2010-06-29 19:40:41 (UTC+8)
Publisher:	中央大學
Abstract:	Let A be a closed linear operator such that the abstract Cauchy problem u''(t) = Au(t),t epsilon R; u(0) = x, u'(0) = y, is well-posed. We present some multiplicative perturbation theorems which give conditions on an operator C so that the abstract Cauchy problems for differential equations u''(t) = ACu(t) and u''(t) = C Au(t) also are well-posed. Some new or known additive perturbation theorems and mixed-type perturbation theorems are deduced as corollaries. Applications to characterization of the infinitesimal comparison of two cosine operator functions are also discussed.
Relation:	SEMIGROUP FORUM
Appears in Collections:	[Graduate Institute of Mathematics] journal & Dissertation

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