Construction of almost periodic solutions to one quasilinear system with two delays
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 11-18.

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

In this paper we construct an almost periodic solution to a quasilinear system with constant and linear delays. We prove the asymptotic stability of this solution.
Keywords: successive approximations, exponential bound, asymptotic stability.
Mots-clés : convergence
@article{IVM_2009_8_a1,
     author = {B. G. Grebenshchikov},
     title = {Construction of almost periodic solutions to one quasilinear system with two delays},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {11--18},
     publisher = {mathdoc},
     number = {8},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2009_8_a1/}
}
TY  - JOUR
AU  - B. G. Grebenshchikov
TI  - Construction of almost periodic solutions to one quasilinear system with two delays
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2009
SP  - 11
EP  - 18
IS  - 8
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/IVM_2009_8_a1/
LA  - ru
ID  - IVM_2009_8_a1
ER  - 
%0 Journal Article
%A B. G. Grebenshchikov
%T Construction of almost periodic solutions to one quasilinear system with two delays
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2009
%P 11-18
%N 8
%I mathdoc
%U http://geodesic.mathdoc.fr/item/IVM_2009_8_a1/
%G ru
%F IVM_2009_8_a1
B. G. Grebenshchikov. Construction of almost periodic solutions to one quasilinear system with two delays. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2009), pp. 11-18. http://geodesic.mathdoc.fr/item/IVM_2009_8_a1/

[1] Bellman R., Kuk K., Differentsialno-raznostnye uravneniya, Mir, M., 1967, 548 pp. | MR | Zbl

[2] Grebenschikov B. G., Rozhkov V. I., “Asimptoticheskoe povedenie resheniya odnoi statsionarnoi sistemy s zapazdyvaniem”, Differents. uravneniya, 29:5 (1993), 271–278

[3] Khalanai A., Veksler D., Kachestvennaya teoriya impulsnykh sistem, Mir, M., 1971, 309 pp. | MR

[4] Demidovich B. P., Lektsii po matematichekoi teorii ustoichivosti, Nauka, M., 1967, 472 pp. | MR

[5] Grebenschikov B. G., “Ob ustoichivosti po pervomu priblizheniyu sistem s zapazdyvaniem, lineino zavisyaschim ot vremeni”, Differents. uravneniya, 26:2 (1990), 214–218 | MR | Zbl