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Proceedings of the Yerevan State University, series Physical and Mathematical Sciences, 1989, Issue 1, Pages 27–32 (Mi uzeru846)  
Mechanic

On the non-stability of differential equation systems in case of small integral perturbations

M. S. Gabrielyan, S. G. Shahinyan

Yerevan State University
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Abstract: The problem of non-stability of the systems of non-linear stationary differential equations is considered when perturbating forces of small integral act on the system during finite time interval. Sufficient and necessary conditions are defined, when the linear differential equation systems are stable due to acting forces. Sufficient conditions are defined tor linear differential systems in case of which the system is non-stable for acting forces.
Received: 14.03.1988
Accepted: 07.06.1989
Document Type: Article
UDC: 531.36
Language: Russian
Citation: M. S. Gabrielyan, S. G. Shahinyan, “On the non-stability of differential equation systems in case of small integral perturbations”, Proceedings of the YSU, Physical and Mathematical Sciences, 1989, no. 1, 27–32
Citation in format AMSBIB
\Bibitem{GabSha89}
\by M.~S.~Gabrielyan, S.~G.~Shahinyan
\paper On the non-stability of differential equation systems in case of small integral perturbations
\jour Proceedings of the YSU, Physical and Mathematical Sciences
\yr 1989
\issue 1
\pages 27--32
\mathnet{http://mi.mathnet.ru/uzeru846}
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