Geodesic
About reversibility states of linear differential operators with periodic unbounded operator coefficients
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 136-144

Voir la notice de l'article provenant de la source Math-Net.Ru

For investigated linear differential operator (equation) with unbounded periodic operator coefficients defined at one of the Banach space of vector functions defined on all real axis difference operator (equation) with constant operator coefficient defined at appropriate Banach space of two-side vector sequences is considered. For differential and difference operators propositions about kernel and co-image dimensions coincidence, simultaneous complementarity of kernels and images, simultaneous reversibility, spectrum interrelation are proved. 
@article{ISU_2014_14_2_a2,
     author = {V. B. Didenko},
     title = {About reversibility states of linear differential operators with periodic unbounded operator coefficients},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {136--144},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a2/}
}
TY  - JOUR
AU  - V. B. Didenko
TI  - About reversibility states of linear differential operators with periodic unbounded operator coefficients
JO  - Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
PY  - 2014
SP  - 136
EP  - 144
VL  - 14
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a2/
LA  - ru
ID  - ISU_2014_14_2_a2
ER  - 
%0 Journal Article
%A V. B. Didenko
%T About reversibility states of linear differential operators with periodic unbounded operator coefficients
%J Izvestiya of Saratov University. Mathematics. Mechanics. Informatics
%D 2014
%P 136-144
%V 14
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a2/
%G ru
%F ISU_2014_14_2_a2
V. B. Didenko. About reversibility states of linear differential operators with periodic unbounded operator coefficients. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 14 (2014) no. 2, pp. 136-144. http://geodesic.mathdoc.fr/item/ISU_2014_14_2_a2/