Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space

Adam Bobrowski; Wojciech Chojnacki

Displaying similar documents to “Isolated points of some sets of bounded cosine families, bounded semigroups, and bounded groups on a Banach space”

Mild integrated C-existence families

Shen Wang (1995)

Studia Mathematica

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We study mild n times integrated C-existence families without the assumption of exponential boundedness. We present several equivalent conditions for these families. Hille-Yosida type necessary and sufficient conditions are given for the exponentially bounded case.

Cosine operator functions

M. Sova

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CONTENTS0. Introduction............................................................................................................... 31. Preliminaries............................................................................................................ 32. Cosine operator functions..................................................................................... 63. Generation of cosine operator functions............................................................ 234. Cosine...

On the uniform convergence of sine, cosine and double sine-cosine series

Krzysztof Duzinkiewicz (2016)

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

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In this paper we define new classes of sequences GM(β,r) and DGM(α,β,γ,r). Using these classes we generalize and extend the P. Kórus results concerning the uniform convergence of sine, cosine and double sine-cosine series, respectively.

Perturbation of strongly continuous cosine family generators

C. C. Travis, G. F. Webb (1981)

Colloquium Mathematicae

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The norm convergence of a Magnus expansion method

András Bátkai, Eszter Sikolya (2012)

Open Mathematics

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We consider numerical approximation to the solution of non-autonomous evolution equations. The order of convergence of the simplest possible Magnus method is investigated.