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math.DS2023
Bounded and exponentially decaying solutions of almost linear dynamic systems on time scales
Svetlin Georgiev, Sergey Kryzhevich
We consider small nonlinear perturbations of linear systems on a time scale with the phase space being finite or infinite-dimensional. For -differential operators, corresponding…
math.DS2022
Linear Time-Varying Dynamic-Algebraic Equations of Index on Time Scales
Svetlin Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index on arbitrary time scales. We propose a procedure for t…
math.DS2022
Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales
Svetlin G. Georgiev, Sergey Kryzhevich
In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index one on arbitrary time scales. We propose a procedure for the de…