Matrices of rational differential operators. (Russian) Zbl 0553.34040

Knyazev, A. V.; Skalyga, V. I.

Differ. Uravn. 19, No. 10, 1793-1795 (1983).

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