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Selçuk Journal
of
Applied Mathematics
Summer-Autumn, 2002
Volume 3
Number 2
Research Center
of
Applied Mathematics
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SJAM
Summer-Autumn 2002, Volume 3 - Number 2
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On asymptotic stability of
solutions to nonlinear systems of differential equations with
periodic coefficients |
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Gennadii Demidenko, Inessa Matveeva |
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Sobolev Institute of Mathematics, SB RAS,
Pr. Koptyuga 4, 630090 Novosibirsk, Russia
email :
demidenk@math.nsc.ru ;
email:
matveeva@math.nsc.ru
Received: September 03, 2002
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Summary
This paper is devoted to the study of a nonlinear system of
differential equations with two parameters. We determine values of
the parameters under which solutions to the system are
asymptotically stable. We obtain also estimates enabling us to
indicate the decay rate of solutions at infinity.
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Key
words
nonlinear differential equations, periodic linear terms, the matrix
Lyapunov equation, asymptotic stability, decay rate of solutions.
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2000 Mathematics
Subject
Classification : 34A34, 34C11, 34D20
*
The research
was financially
supported by
the Scientific
and Technical
Research Council
of Turkey (TUBITAK) in
the framework
of a NATO-PC Advanced
Fellowships
Programme.
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Article
in PS format (161 Kb) |
Article
in ZIP format (61.6 Kb) |
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