Wexler inequality and almost periodic solutions of differential equations with deviating argument of mixed type

• Published in: Нелінійні коливання
• Date: 2004
• Main Authors: Akhmet, M.U., Tleubergenova, M.A.
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2004
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/177017
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Wexler inequality and almost periodic solutions of differential equations with deviating argument of mixed type / M.U. Akhmet, M.A. Tleubergenova // Нелінійні коливання. — 2004. — Т. 7, № 3. — С. 295-301. — Бібліогр.: 18 назв. — англ.

The paper is concerned with the existence and stability of an almost periodic solution of the system with deviating argument dx(t)/dt = A(t)x(t) + f(t, x(t), x(t − τ₁(t)), . . . , x(t − τk(t)). The Wexler inequality for the Cauchy matrix is used. Conditions for stability of the solution are given....