English

Linear Time-Varying Dynamic-Algebraic Equations of Index $\geq 2$ on Time Scales

Dynamical Systems 2022-12-27 v1

Abstract

In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index 2\geq 2 on arbitrary time scales. We propose a procedure for the decoupling of the considered class LTVDAE. In the paper is used a projector approach. This work is a continuation of our previous article where we study equations of index 1.

Keywords

Cite

@article{arxiv.2212.12880,
  title  = {Linear Time-Varying Dynamic-Algebraic Equations of Index $\geq 2$ on Time Scales},
  author = {Svetlin Georgiev and Sergey Kryzhevich},
  journal= {arXiv preprint arXiv:2212.12880},
  year   = {2022}
}

Comments

40 pages. arXiv admin note: substantial text overlap with arXiv:2209.15118