Solvability of Boundary Value Problems for Systems of Singular Differential-Algebraic Equations
- 1 January 1993
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Mathematical Analysis
- Vol. 24 (1) , 200-215
- https://doi.org/10.1137/0524012
Abstract
This paper considers systems of linear singular differential-algebraic equations subject to two-point boundary conditions. Existence and uniqueness theory is given for the case when one can decouple the original problem in a boundary value problem for ODEs with a singularity of the first kind at the left endpoint of the interval, and a set of algebraic equations. This paper also studies the solvability of the system in its initial value version.Keywords
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