Geodesic
Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space
Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 719-729 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

In the present article exact (necessary and sufficient) spectral criteria are found for the stability of the solutions of certain systems of linear partial difference equations in Banach space. 
@article{IM2_1971_5_3_a12,
     author = {I. I. Marmershtein},
     title = {Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in {Banach} space},
     journal = {Izvestiya. Mathematics},
     pages = {719--729},
     year = {1971},
     volume = {5},
     number = {3},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a12/}
}
TY  - JOUR
AU  - I. I. Marmershtein
TI  - Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space
JO  - Izvestiya. Mathematics
PY  - 1971
SP  - 719
EP  - 729
VL  - 5
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a12/
LA  - en
ID  - IM2_1971_5_3_a12
ER  - 
%0 Journal Article
%A I. I. Marmershtein
%T Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space
%J Izvestiya. Mathematics
%D 1971
%P 719-729
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a12/
%G en
%F IM2_1971_5_3_a12
I. I. Marmershtein. Necessary and sufficient criteria for the boundedness of the solutions of certain systems of linear difference equations in Banach space. Izvestiya. Mathematics, Tome 5 (1971) no. 3, pp. 719-729. http://geodesic.mathdoc.fr/item/IM2_1971_5_3_a12/

[1] Marmershtein I. I., “Ob ogranichennosti reshenii nekotorykh sistem lineinykh uravnenii v chastnykh raznostyakh”, Dokl. AN SSSR, 189:3 (1969), 475–478

[2] Marmershtein I. I., “Ob ustoichivosti reshenii odnogo klassa lineinykh raznostnykh uravnenii”, Izv. vuzov. Matematika, 1968, no. 7, 37–41 | Zbl

[3] Rutman M. A., Avtoreferat doktorskoi dissertatsii, LGU, 1960

[4] Rutman M. A., “Ob ogranichennosti reshenii nekotorykh lineinykh uravnenii v chastnykh raznostyakh”, Dokl. AN SSSR, 159:2 (1964), 273–275 | MR | Zbl

[5] Rutman M. A., “Kriterii ogranichennosti reshenii dlya lineinykh differentsialnykh uravnenii s chastnymi proizvodnymi, obladayuschikh starshim chlenom”, Dokl. AN SSSR, 147:4 (1962), 789–792 | MR | Zbl

[6] Rutman M. A., “Ob ustoichivosti reshenii nekotorykh sistem lineinykh differentsialnykh uravnenii s peremennymi koeffitsientami”, Dokl. AN SSSR, 108:5 (1956), 770–773 | MR | Zbl

[7] Melamed E. Ya., “Ob ustoichivosti reshenii nekotorykh differentsialnykh kraevykh zadach s chastnymi proizvodnymi v banakhovom prostranstve”, Dokl. AN SSSR, 120:6 (1958), 1194–1195 | MR | Zbl