ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEARDIFFERENTIAL OPERATORS IN THE SPACE OF(n−1)-DIMENSIONALLYCONTINUOUS FUNCTIONS

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ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEARDIFFERENTIAL OPERATORS IN THE SPACE OF(n−1)-DIMENSIONALLYCONTINUOUS FUNCTIONS V.Zh. Dumanyan

In this article we consider first order linear differential operators in the spaceof(n−1)-dimensionally continuous functions with coefficients having somegrowth near the domain boundary and prove the boundedness of consideredoperators.

DOI: 10.46991/PYSUA.2013.47.2.008 Physical and Mathematical Sciences, 47(2 (231) 8-14

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Keywords

bounded differential operator, first order differential operator,(n−1)-dimensionally continuous function.

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