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Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales

Dynamical Systems 2022-12-01 v2

Abstract

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 decoupling of the considered class LTVDAE. A projector approach is used to prove the main statement of the paper.

Keywords

Cite

@article{arxiv.2209.15118,
  title  = {Linear Time-Varying Dynamic-Algebraic Equations of Index One on Time Scales},
  author = {Svetlin G. Georgiev and Sergey Kryzhevich},
  journal= {arXiv preprint arXiv:2209.15118},
  year   = {2022}
}

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22 pages