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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|
|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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