RUS  ENG
Full version
JOURNALS // Sibirskii Matematicheskii Zhurnal // Archive

Sibirsk. Mat. Zh., 2019 Volume 60, Number 6, Pages 1260–1270 (Mi smj3147)

A method of constructing almost periodic solutions to a system of neutral type with linear delay

B. G. Grebenshchikov

Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Under consideration is the possibility of constructing an almost periodic solution for one inhomogeneous system of linear differential equations with delay that is a linear function of the argument (time) under some assumptions about the right-hand side of the system. This solution is proved to be asymptotically stable. Also, we study the existence of an almost periodic solution to another system without neutral terms; in this event the solution is stable.

UDC: 519.17+512.54

MSC: 35R30

Received: 04.07.2018
Revised: 30.08.2018
Accepted: 19.12.2018

DOI: 10.33048/smzh.2019.60.606


 English version:
Siberian Mathematical Journal, 2019, 60:6, 984–992

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2026