ON A CAUCHY PROBLEM FOR THE FIRST ORDER LINEAR HOMOGENEOUS DIFFERENTIAL-OPERATOR EQUATION WITH A MIXED OPERATOR |
| 3 | |
| 2010 |
| scientific article | 517.55 | ||
| 154-159 | Cauchy problem, differential-operator equation, mixed operator, locally convex space, operator order, operator type |
| Sufficient conditions are described that allow a solution of the Cauchy problem for the first order linear
homogeneous differential-operator equations containing a mixed operator in arbitrary locally convex space. The
operator represents a product of a scalar function dependent on the differentiation variable by a linear operator which
does not depend on the differentiation variable. |
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