Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 86-102
Citer cet article
A. L. Piven. Condition of completeness of elementary solutions for degenerate higher order operator differential equations. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 12 (2005) no. 1, pp. 86-102. http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a4/
@article{JMAG_2005_12_1_a4,
author = {A. L. Piven},
title = {Condition of completeness of elementary solutions for degenerate higher order operator differential equations},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {86--102},
year = {2005},
volume = {12},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a4/}
}
TY - JOUR
AU - A. L. Piven
TI - Condition of completeness of elementary solutions for degenerate higher order operator differential equations
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2005
SP - 86
EP - 102
VL - 12
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a4/
LA - ru
ID - JMAG_2005_12_1_a4
ER -
%0 Journal Article
%A A. L. Piven
%T Condition of completeness of elementary solutions for degenerate higher order operator differential equations
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2005
%P 86-102
%V 12
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2005_12_1_a4/
%G ru
%F JMAG_2005_12_1_a4
In a Banach space, the higher order abstract differential equation $\sum\limits_{j=0}^nA_ju^{(j)}(t)=0$ is investigated. The operator $A_n$ in the higher derivative may be degenerate. Conditions of approximation of solutions by linear combinations of elementary solutions have been obtained. Abstract results are applied to partial differential equations.
