LYAPUNOV METODU iLE FARK DENKLEMLERiNiN KARARLILIGININ BELiRLENMESi

Year 2007, Issue: 013, 31 - 38, 15.06.2007

A.Burcu Özyurt Serim Mustafa Bayram

Abstract

As it is known, Lyapunov method was used for stability of the solution of the generalized energy fonctions, but recently, this method is used for stability of the difference equations. In this study, We have shown how to used Lyapunav method for the stability of the difference equations and this method has been applied some examples.

Keywords

Difference equations, Lyapunov method, stability

LYAPUNOV METODU iLE FARK DENKLEMLERiNiN KARARLILIGININ BELiRLENMESi

Abstract

Bilindigi gibi, Lyapunov metodu, genellestirilrnis bir enerji fonksiyonunun coznmlerinin kararhhgi icin kullarnr. Fakat son zamanlarda fark denklem sistemlerinin cozumlerinin kararhligr icinde kullarulrnaya baslanmisnr. Bu cahsmada, Lyapunov metodu kullarularak fark denklemlerinin kararhhginm nasil belirlendigi ele ahndi ve bazi ornek problemlere uygulandi.

Keywords

Fark denklemleri, Lypunov metodu, kararlılık

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