Approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families
Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017), p. 69
Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts
The main aim of this paper is to investigate approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families in locally convex spaces. We continue our previous research of non-degenerate case $[$Numer. Funct. Anal. Appl. {\bf 35} $(2014)$, $1579-1606]$, following the multivalued linear operators approach to abstract degenerate differential equations. We also consider Laguerre expansions of degenerate $(a,k)$-regularized $C$-resolvent families.
Classification :
4A45, 45D05, 47D60, 47D62, 47D99
Keywords: degenerate $(a;k)$-regularized $C$-resolvent families, approximations, convergence, multivalued linear operators, locally convex spaces
Keywords: degenerate $(a;k)$-regularized $C$-resolvent families, approximations, convergence, multivalued linear operators, locally convex spaces
@article{BASS_2017_42_a5,
author = {Marko Kosti\'c},
title = {Approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families},
journal = {Bulletin de l'Acad\'emie serbe des sciences. Classe des sciences math\'ematiques et naturelles},
pages = {69 },
year = {2017},
volume = {42},
language = {en},
url = {http://geodesic.mathdoc.fr/item/BASS_2017_42_a5/}
}
TY - JOUR AU - Marko Kostić TI - Approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families JO - Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles PY - 2017 SP - 69 VL - 42 UR - http://geodesic.mathdoc.fr/item/BASS_2017_42_a5/ LA - en ID - BASS_2017_42_a5 ER -
%0 Journal Article %A Marko Kostić %T Approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families %J Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles %D 2017 %P 69 %V 42 %U http://geodesic.mathdoc.fr/item/BASS_2017_42_a5/ %G en %F BASS_2017_42_a5
Marko Kostić. Approximation and convergence of degenerate $(a,k)$-regularized $C$-resolvent families. Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017), p. 69 . http://geodesic.mathdoc.fr/item/BASS_2017_42_a5/