Geodesic
To the theory of functional-differential inclusions with impulses
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 23-26 
A. I. Bulgakov; A. I. Korobko; O. V. Filippova. To the theory of functional-differential inclusions with impulses. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 23-26. http://geodesic.mathdoc.fr/item/VUU_2008_2_a8/
@article{VUU_2008_2_a8,
     author = {A. I. Bulgakov and A. I. Korobko and O. V. Filippova},
     title = {To the theory of functional-differential inclusions with impulses},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {23--26},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a8/}
}
TY  - JOUR
AU  - A. I. Bulgakov
AU  - A. I. Korobko
AU  - O. V. Filippova
TI  - To the theory of functional-differential inclusions with impulses
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 23
EP  - 26
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a8/
LA  - ru
ID  - VUU_2008_2_a8
ER  - 
%0 Journal Article
%A A. I. Bulgakov
%A A. I. Korobko
%A O. V. Filippova
%T To the theory of functional-differential inclusions with impulses
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 23-26
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a8/
%G ru
%F VUU_2008_2_a8

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

The functional-differential inclusions with Volterra (in the sense of Tikhonov) multivalued maps and impulses are dealt with. There are the theorems formulated on the prolongability of solutions as well as on the connection between a priori boundness of solutions and global solvability of such a system.

[1] Zavalischin C. T., Sesekin A. N., Impulsnye protsessy. Modeli i prilozheniya, Nauka, M., 1991 | MR

[2] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Elementy teorii funktsionalno-differentsialnykh uravnenii, Vyssh. shk., M., 1987

[3] Tikhonov A. N., “Funktsionalnye uravneniya tipa Volterra i ikh prilozheniyak nekotorym voprosam matematicheskoi fiziki”, Byul. Mosk. un-ta. Sektsiya A, 1:8 (1938), 1–25 | MR | Zbl