Evolution equations with parameter in the hyperbolic case

Jan Bochenek; Teresa Winiarska

ArticleOriginal scientific text

Title

Evolution equations with parameter in the hyperbolic case

Authors ¹, ¹

Affiliations

Institute of Mathematics, Technical University of Kraków, Warszawska 24, 31-155 Kraków, Poland

Abstract

The purpose of this paper is to give theorems on continuity and differentiability with respect to (h,t) of the solution of the initial value problem du/dt = A(h,t)u + f(h,t), u(0) = u₀(h) with parameter

h \in Ω \subset ℝ^{m}

in the "hyperbolic" case.

Keywords

ENG

evolution problem, stable family of operators, stable approximations of the evolution operator, evolution problem with parameter, hyperbolic case

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Title

Evolution equations with parameter in the hyperbolic case

Affiliations

Abstract

Keywords

Bibliography