Dynamic systems with delay perturbed by impulses
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 136-139 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

The paper deals with formalization and description of solutions for the nonlinear system of functional-differential equations perturbed by impulses. The problem of continuous dependence on the initial function for such solutions is investigated.
@article{VUU_2008_2_a44,
     author = {A. N. Sesekin and Yu. V. Fetisova},
     title = {Dynamic systems with delay perturbed by impulses},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {136--139},
     year = {2008},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2008_2_a44/}
}
TY  - JOUR
AU  - A. N. Sesekin
AU  - Yu. V. Fetisova
TI  - Dynamic systems with delay perturbed by impulses
JO  - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
PY  - 2008
SP  - 136
EP  - 139
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/VUU_2008_2_a44/
LA  - ru
ID  - VUU_2008_2_a44
ER  - 
%0 Journal Article
%A A. N. Sesekin
%A Yu. V. Fetisova
%T Dynamic systems with delay perturbed by impulses
%J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki
%D 2008
%P 136-139
%N 2
%U http://geodesic.mathdoc.fr/item/VUU_2008_2_a44/
%G ru
%F VUU_2008_2_a44
A. N. Sesekin; Yu. V. Fetisova. Dynamic systems with delay perturbed by impulses. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2008), pp. 136-139. http://geodesic.mathdoc.fr/item/VUU_2008_2_a44/

[1] Filippov A. F., Differentsialnye uravneniya s razryvnoi pravoi chastyu, Nauka, M., 1985 | MR

[2] Zavalischin S. T., Sesekin A. N., Impulsnye protsessy: Modeli i prilozheniya, Nauka, M., 1991 | MR

[3] Zavalishchin S. T., Sesekin A. N., Dynamic Impulse Systems. Theory and Applications, Kluwer Academic Publishers, Dordrecht, 1997 | MR | Zbl

[4] Miller B. M., Rubinovich E. Ya., Optimizatsiya dinamicheskikh sistem s impulsnym upravleniem, Nauka, M., 2004

[5] Derr V. Ya., Kinzebulatov D. M., “Dinamicheskie obobschennye funktsii i problema umnozheniya”, Izvestiya vuzov. Matematika, 2007, no. 5, 33–45 | MR | Zbl

[6] Krasovskii N. N., Teoriya upravleniya dvizheniem. Lineinye sistemy, Nauka, M., 1968 | MR

[7] Fetisova Y. V., Sesekin A. N., “Discontinuous solutions of differential equations with time delay”, WSEAS Transaction on Systems, 4:5 (2005), 487–492 | MR

[8] Anokhin A. V., “O lineinykh funktsionalno-differentsialnykh uravneniyakh s obobschennymi vozmuscheniyami”, Dokl. AN SSSR, 286:5, 1037–1040 | MR | Zbl

[9] Azbelev N. V., Maksimov V. P., Rakhmatullina L. F., Vvedenie v teoriyu funktsionalno-differentsialnykh uravnenii, Nauka, M., 1991 | MR | Zbl

[10] Vladimirov V. S., Obobschennye funktsii v matematicheskoi fizike, Nauka, M., 1976 | MR | Zbl