Bulletin de l'Académie serbe des sciences. Classe des sciences mathématiques et naturelles, Tome 42 (2017) no. 1
Citer cet article
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) no. 1. http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a5/
@article{BASS_2017_42_1_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 - 83},
year = {2017},
volume = {42},
number = {1},
url = {http://geodesic.mathdoc.fr/item/BASS_2017_42_1_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
EP - 83
VL - 42
IS - 1
UR - http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a5/
ID - BASS_2017_42_1_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 - 83
%V 42
%N 1
%U http://geodesic.mathdoc.fr/item/BASS_2017_42_1_a5/
%F BASS_2017_42_1_a5
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.