Wexler inequality and almost periodic solutions of differential equations with deviating argument of mixed type
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....
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| Datum: | 2004 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут математики НАН України
2004
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| Schriftenreihe: | Нелінійні коливання |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/177017 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| Zusammenfassung: | 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. |
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