The Green's operator of a generalized matrix differential-algebraic boundary value problem

Chuiko, S.
July 2015
Siberian Mathematical Journal;Jul2015, Vol. 56 Issue 4, p752
Academic Journal
We set forth solvability conditions and construction of the generalized Green's operator for a Noetherian matrix linear differential-algebraic boundary value problem. Sufficient conditions of reducibility of a generalized matrix differential-algebraic operator to a conventional differential-algebraic equation with an unknown column vector are established. To solve a matrix differential-algebraic boundary value problem, we employ a special solvability conditions and the construction of a general solution to a matrix Sylvester-type equation.


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