PERTURBATION AND COMPARISON OF COSINE OPERATOR-FUNCTIONS

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题名:	PERTURBATION AND COMPARISON OF COSINE OPERATOR-FUNCTIONS
作者:	PISKAREV,S;SHAW,SY
贡献者:	數學研究所
关键词:	SEMIGROUPS
日期:	1995
上传时间:	2010-06-29 19:40:41 (UTC+8)
出版者:	中央大學
摘要:	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.
關聯:	SEMIGROUP FORUM
显示于类别:	[數學研究所] 期刊論文

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