This article is cited in 1 paper

Mathematics

Abstract degenerate non-scalar Volterra equation

M. Kostić

University of Novi Sad, Novi Sad, Serbia

Abstract: In this paper, we contribute to the existing theory of abstract degenerate Volterra integro-differential equations by investigating abstract degenerate non-scalar Volterra equations. We consider the generation of $(A,k,B)$-regularized $C$-pseudoresolvent families in Banach spaces, as well as their analytical properties and hyperbolic perturbation results.

Keywords: abstract degenerate differential equation, non-scalar Volterra equation, degenerate $(A,k)$-regularized $C$-pseudoresolvent family, degenerate fractional resolvent family, well-posedness.

UDC: 517.98

Received: 17.07.2015
Revised: 01.02.2016

Language: English

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