On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients

Autor:	Assanova, Anar, Trunk, Carsten, Uteshova, Roza
Rok vydání:	2023
Předmět:	Mathematics - Classical Analysis and ODEs Mathematics - Functional Analysis Primary 34A09 34B05 Secondary 34B99 15A22
Druh dokumentu:	Working Paper
Popis:	We study a two-point boundary value problem for a linear differen\-tial-algebraic equation with constant coefficients by using the method of parameterization. The parameter is set as the value of the continuously differentiable component of the solution at the left endpoint of the interval. Applying the Weierstrass canonical form to the matrix pair associated with the differential-algebraic equation, we obtain a criterion for the unique solvability of the problem.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2307.03092 Zobrazit plný text záznamu View this record from Arxiv