ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEAR DIFFERENTIAL OPERATORS IN THE SPACE OF $(n-1)$-DIMENSIONALLY CONTINUOUS FUNCTIONS

V.Zh. Dumanyan

doi:10.46991/PYSU:A/2013.47.2.008

ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEAR DIFFERENTIAL OPERATORS IN THE SPACE OF $(n-1)$-DIMENSIONALLY CONTINUOUS FUNCTIONS

Authors

V.Zh. Dumanyan Chair of Numerical Analysis and Mathematical Modeling, YSU, Armenia

DOI:

https://doi.org/10.46991/PYSU:A/2013.47.2.008

Keywords:

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

Abstract

In this article we consider first order linear differential operators in the space of $(n-1)$-dimensionally continuous functions with coefficients having some growth near the domain boundary and prove the boundedness of considered operators.

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Published

2013-06-20

How to Cite

Dumanyan, V. (2013). ON BOUNDEDNESS OF A CLASS OF FIRST ORDER LINEAR DIFFERENTIAL OPERATORS IN THE SPACE OF $(n-1)$-DIMENSIONALLY CONTINUOUS FUNCTIONS. Proceedings of the YSU A: Physical and Mathematical Sciences, 47(2 (231), 8–14. https://doi.org/10.46991/PYSU:A/2013.47.2.008