Abstract:
A method is proposed for solving linear differential-algebraic systems of equations supplemented with nonlocal conditions specified by the Stieltjes integral. The method is based on a series of successive transformations of the original system. The result is either a normal system of differential equations or a system of algebraic equations. In the first case, the use of the supplementary nonlocal condition is realized through the introduction of auxiliary boundary conditions of a standard type.
Key words:differential-algebraic system of equations, supplementary linear nonlocal condition, Stieltjes integral, method of successive transformations.
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