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About the Storm-Liouville operator with negative parameter in space L2(R)

УДК 517.9 МС

ISSN 2709-4707

Category: Applied mathematics, Information technologies

In this paper, the question of the existence of a resolvent is studied, and also, after closure in space, the smoothness of functions from the domain of an operator of unbounded type in an unbounded domain with coefficients strongly increasing at infinity is investigated.

Keywords: Sturm-Liouville operator, operator closure, inverse operator, resolvent.