## Matrices of rational differential operators.(Russian)Zbl 0553.34040

The authors find conditions for the simple representation of solutions of equations of the form $$[A(D)]\times (t)=f(t)+\Theta ([A])$$, where [A(D)] is a matrix differential operator. The results extend earlier results of the first author [ibid. 14, 1784-1790 (1978; Zbl 0407.34007)] and use the ideas of algebraic operators induced by the field of characteristics introduced by V. P. Maslov [Operator methods (1973; Zbl 0288.47042)].
Reviewer: C.Coleman

### MSC:

 34G10 Linear differential equations in abstract spaces

### Keywords:

matrix differential operator; algebraic operators

### Citations:

Zbl 0407.34007; Zbl 0288.47042