Premium
Periodic solutions of quasilinear non‐autonomous systems with impulses
Author(s) -
Hristova S. G.,
Bainov D. D.,
Roach G. F.
Publication year - 1986
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1670080116
Subject(s) - mathematics , impulse (physics) , mathematical analysis , differential equation , classical mechanics , physics
The paper considers a system of differential equations with impulse perturbations at fixed moments in time of the formwhere x ϵ R n , ε is a small parameter, Sufficient conditions have been found for existence of the periodic solution of the given system in the critical and non‐critical cases.