C0-Semigroup: Mathematics, Exponential Function, Ordinary Differential Equation - Tapa blanda

C0-Semigroup

Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Please note that the content of this book primarily consists of articlesavailable from Wikipedia or other free sources online. In mathematics, aC0-semigroup, also known as a strongly continuous one-parametersemigroup, is a generalization of the exponential function. Just asexponential functions provide solutions of scalar linear constantcoefficient ordinary differential equations, strongly continuoussemigroups provide solutions of linear constant coefficient ordinarydifferential equations in Banach spaces. Such differential equations inBanach spaces arise from e.g. delay differential equations and partialdifferential equations. Formally, a strongly continuous semigroup is arepresentation of the semigroup (R+,+) on some Banach space X that iscontinuous in the strong operator topology. Thus, strictly speaking, astrongly continuous semigroup is not a semigroup, but rather acontinuous representation of a very particular semigroup.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 84 pp. Englisch. Nº de ref. del artículo: 9786131137365

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