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This article is cited in 1 scientific paper (total in 1 paper)
Almost-periodic solutions to systems of differential equations with fast and slow time in the degenerate case
A. Yu. Ukhalov P. G. Demidov Yaroslavl State University
Abstract:
We consider a system of ordinary first-order differential equations. The right-hand sides of the system are proportional to a small parameter and depend almost periodically on fast time and periodically on slow time. With this system, we associate the system averaged over fast time. We assume that the averaged system has a structurally unstable periodic solution. We prove a theorem on the existence and stability of almost periodic solutions of the original system.
Received: 29.02.1996 Revised: 14.10.1996
Citation:
A. Yu. Ukhalov, “Almost-periodic solutions to systems of differential equations with fast and slow time in the degenerate case”, Mat. Zametki, 63:3 (1998), 451–456; Math. Notes, 63:3 (1998), 396–400
Linking options:
https://www.mathnet.ru/eng/mzm1302https://doi.org/10.4213/mzm1302 https://www.mathnet.ru/eng/mzm/v63/i3/p451
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