Geodesic
Operators involving a first derivative with respect to time and nonlocal boundary conditions
Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 57-79.

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

We study an operator equation of the form $\dfrac{du}{dt}-Au=f$ with boundary conditions relating values $u(t)$ for $t=0$ with the values for $t=a$. 
@article{IM2_1967_1_1_a4,
     author = {A. A. Dezin},
     title = {Operators involving a first derivative with respect to time and nonlocal boundary conditions},
     journal = {Izvestiya. Mathematics },
     pages = {57--79},
     publisher = {mathdoc},
     volume = {1},
     number = {1},
     year = {1967},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a4/}
}
TY  - JOUR
AU  - A. A. Dezin
TI  - Operators involving a first derivative with respect to time and nonlocal boundary conditions
JO  - Izvestiya. Mathematics 
PY  - 1967
SP  - 57
EP  - 79
VL  - 1
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a4/
LA  - en
ID  - IM2_1967_1_1_a4
ER  - 
%0 Journal Article
%A A. A. Dezin
%T Operators involving a first derivative with respect to time and nonlocal boundary conditions
%J Izvestiya. Mathematics 
%D 1967
%P 57-79
%V 1
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a4/
%G en
%F IM2_1967_1_1_a4
A. A. Dezin. Operators involving a first derivative with respect to time and nonlocal boundary conditions. Izvestiya. Mathematics , Tome 1 (1967) no. 1, pp. 57-79. http://geodesic.mathdoc.fr/item/IM2_1967_1_1_a4/

[1] Laptev G. I., Granichnye zadachi dlya differentsialnykh uravnenii 2-go poryadka v banakhovom prostranstve, Kandidatskaya dissertatsiya, Voronezhskii Gos. un-t, 1964

[2] Agmon S., Nirenberg L., “Properties of solutions of ordinary differential equations in Banach space”, Communs Pure and Appl. Math., 16 (1963), 121–209 | DOI | MR

[3] Khërmander L., Lineinye differentsialnye operatory s chastnymi proizvodnymi, Mir, M., 1965 | MR

[4] Trev Zh., Lektsii po lineinym uravneniyam v chastnykh proizvodnykh s postoyannymi koeffitsientami, Mir, M., 1965 | Zbl

[5] Gelfand I. M., Shilov G. E., Nekotorye voprosy teorii differentsialnykh uravnenii, Fizmatgiz, M., 1958 | MR

[6] Waelbroeck L., “Etude spectral des algebres completes”, Mem. de l'Acad. R. de Belgique, 31 (1960), 1–142 | MR

[7] Sebashtyan-e-Silva, “O simvolicheskom ischislenii perestanovochnykh operatorov s pustym ili neogranichennym spektrom”, Matematika, 8:3 (1964), 36–79

[8] Dezin A. A., “Prosteishie razreshimye rasshireniya dlya ultragiperbolicheskogo i psevdoparabolicheskogo operatorov”, Dokl. AN SSSR, 148:5 (1963), 1013–1016 | MR | Zbl

[9] Dezin A. A., “K teorii operatorov vida $\frac{d}{dt}-A$”, Dokl. AN SSSR, 164:5 (1965), 963–966 | MR | Zbl

[10] Dezin A. A., O razreshimykh rasshireniyakh dlya differentsialnykh operatorov s chastnymi proizvodnymi, Tr. Sovetsko-Amerikanskogo simpoziuma po uravneniyam s chastnymi proizvodnymi, Novosibirsk, 1963 | Zbl

[11] Romanko V. K., “Granichnye zadachi dlya operatorov po dvum peremennym s neodnorodnoi glavnoi chastyu”, Dokl. AN SSSR, 159:2 (1964), 269–272 | MR | Zbl

[12] Danford N., Shvarts Dzh., Lineinye operatory, ch. I, IL, M., 1962

[13] Khille E., Fillips R., Funktsionalnyi analiz i polugruppy, IL, M., 1962

[14] Sobolev S. L., Nekotorye prilozheniya funktsionalnogo analiza v matematicheskoi fizike, LGU, L., 1950

[15] Kassels Dzh., Vvedenie v teoriyu diofantovykh priblizhenii, IL, M., 1961

[16] Khërmander L., K teorii obschikh differentsialnykh operatorov v chastnykh proizvodnykh, IL, M., 1959

[17] Arnold V. I., “Malye znamenateli. I”, Izv. AN SSSR. Ser. matem., 25 (1961), 21–86 | MR