On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients
Classical Analysis and ODEs
2023-07-07 v1 Functional Analysis
Abstract
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.
Cite
@article{arxiv.2307.03092,
title = {On the solvability of boundary value problems for linear differential-algebraic equations with constant coefficients},
author = {Anar Assanova and Carsten Trunk and Roza Uteshova},
journal= {arXiv preprint arXiv:2307.03092},
year = {2023}
}