On asymptotic stability of solutions to nonlinear systems of differential equations with periodic coefficients

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Tarih

2002

Dergi Başlığı

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Yayıncı

Selcuk University Research Center of Applied Mathematics

Erişim Hakkı

info:eu-repo/semantics/openAccess

Özet

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.

Açıklama

Anahtar Kelimeler

Nonlinear differential equations, Periodic linear terms, Matrix Lyapunov equation, Asymptotic stability, Decay rate of solutions, Lineer olmayan diferansiyel denklemler, Periyodik doğrusal terimler, Matris Lyapunov denklemi, Asimptotik stabilite, Çürüme oranı

Kaynak

Selcuk Journal of Applied Mathematics

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Cilt

3

Sayı

Künye

Demidenko, G., Matveeva, I. (2002). On asymptotic stability of solutions to nonlinear systems of differential equations with periodic coefficients. Selcuk Journal of Applied Mathematics, 3 (2), 37-48.