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

Abstract

In this paper, we introduce a class of linear time-varying dynamic-algebraic equations(LTVDAE) of tractability index $\ge 2$ 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.

arXiv comment40 pages. arXiv admin note: substantial text overlap with arXiv:2209.15118