Geodesic
The Bohl–Perron theorem for hybrid linear systems with aftereffect
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 122-126 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice du chapitre de livre

We consider an abstract hybrid system of functional-differential equations. Both equations are functional-differential with respect to one part of variables and difference with respect to to the other part of variables. To the system of two equations with two unknowns appeared, we apply the $W$-method of N. V. Azbelev. We examine two models: a system of functional-differential equations and a system of difference equations. We study the spaces of their solutions and obtain the Bohl–Perron-type theorems on the exponential stability.
Keywords: Bohl–Perron theorem on the exponential stability, hybrid linear system of functional-differential equations, method of model equation. 
@article{INTO_2017_132_a27,
     author = {P. M. Simonov},
     title = {The {Bohl{\textendash}Perron} theorem for hybrid linear systems with aftereffect},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {122--126},
     year = {2017},
     volume = {132},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2017_132_a27/}
}
TY  - JOUR
AU  - P. M. Simonov
TI  - The Bohl–Perron theorem for hybrid linear systems with aftereffect
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2017
SP  - 122
EP  - 126
VL  - 132
UR  - http://geodesic.mathdoc.fr/item/INTO_2017_132_a27/
LA  - ru
ID  - INTO_2017_132_a27
ER  - 
%0 Journal Article
%A P. M. Simonov
%T The Bohl–Perron theorem for hybrid linear systems with aftereffect
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2017
%P 122-126
%V 132
%U http://geodesic.mathdoc.fr/item/INTO_2017_132_a27/
%G ru
%F INTO_2017_132_a27
P. M. Simonov. The Bohl–Perron theorem for hybrid linear systems with aftereffect. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of International Symposium “Differential Equations–2016”, Perm, May 17-18, 2016, Tome 132 (2017), pp. 122-126. http://geodesic.mathdoc.fr/item/INTO_2017_132_a27/