Geodesic
Abstract degenerate non-scalar Volterra equation
Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 1, pp. 104-112

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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. 
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     title = {Abstract degenerate non-scalar {Volterra} equation},
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     year = {2016},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_1_a10/}
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M. Kostić. Abstract degenerate non-scalar Volterra equation. Čelâbinskij fiziko-matematičeskij žurnal, Tome 1 (2016) no. 1, pp. 104-112. http://geodesic.mathdoc.fr/item/CHFMJ_2016_1_1_a10/