Instability of solutions for certain nonlinear vector differential equations of fourth order

The main purpose of this paper is to give a result with an explanatory example which deals directly with the instability of the trivial solution of a certain nonlinear vector differential equation of fourth order. The result which will be established here improves and includes a well-known instabi...

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Bibliographic Details
Published in:Нелінійні коливання
Date:2009
Main Author: Tunç, C.
Format: Article
Language:English
Published: Інститут математики НАН України 2009
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/178387
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Instability of solutions for certain nonlinear vector differential equations of fourth order / C. Tunç // Нелінійні коливання. — 2009. — Т. 12, № 1. — С. 120-129. — Бібліогр.: 15 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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Summary:The main purpose of this paper is to give a result with an explanatory example which deals directly with the instability of the trivial solution of a certain nonlinear vector differential equation of fourth order. The result which will be established here improves and includes a well-known instability result in the literature established for a scalar nonlinear differential equation of fourth order. Отримано результат iз пояснювальним прикладом про нестiйкiсть тривiального розв’язку деякого нелiнiйного векторного диференцiального рiвняння четвертого порядку, що покращує вiдомий результат про нестiйкiсть для скалярного диференцiального рiвняння четвертого порядку.
ISSN:1562-3076