Solvability of Cauchy Problem for a Differential-Algebraic System with Concentrated Delay
S. M. Chuiko
Русская математика
https://doi.org/10.3103/S1066369X19120090
We study the Cauchy problem for a linear differential-algebraic system of equations with concentrated delay. Our research continues investigation of solvability of linear Noether boundary value problems for systems of functional-differential equations given in the monographs by A.D. Myshkis, N.V. Azbelev, V.P. Maksimov, L.F. Rakhmatullina, A.M. Samoilenko, and A.A. Boichuk; meanwhile, we use essentially the tool of Moore-Penrose inverse matrices. For a linear differential-algebraic system with concentrated delay, we find sufficient conditions for its solvability and give a construction of generalized Green’s operator for Cauchy’s problem. We also give some examples which illustrate in detail the solvability conditions and the suggested construction.
- Donbass State Pedagogical University, 19 General Batyuk str., Slavyansk, 84116, UkraineS. M. Chuiko
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