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Title: Linear transformations and floquet theorem for linear implicit dynamic equations on time scales
Authors: Nguyen, Huu Du
Nguyen, Chi Liem
Pai, D. V.
Keywords: Floquet theorem;Implicit dynamic equation;Index;Linear dynamic equation;Lyapunov transformation;Time scales
Issue Date: 2013
Publisher: H. : ĐHQGHN
Abstract: This paper is concerned with Cauchy problem, Lyapunov transformations, Floquet and Lyapunov theorems for linear implicit dynamic equation A txΔ = Btx with index-1 on time scales. The stability of this equation under the act of these Lyapunov transformations is also considered. The results are a unification and generalization of previous results for differential-algebraic equations and implicit difference systems
Description: Asian-European Journal of Mathematics 6(1),1350004
Appears in Collections:Bài báo của ĐHQGHN trong Scopus

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