CMMSE:Estimates of approximation numbers, nuclearity of the resolvent of a third order singular differential operator and the completeness of its root vectors
Madi Muratbekov,
Mussakan Muratbekov
Abstract:In this paper, we consider a third order singular differential operator
L w + μ w = - w ′′′ + q ( x ) w + μ w in space L 2 ( R ) originally
defined on the set C 0 ∞ ( R ) , where C 0 ∞ ( R ) is the set of
infinitely differentiable compactly supported functions, μ≥0.
Regarding the coefficient q ( x ) , we assume that it is a continuous
function in R ( - ∞ , ∞ ) and can be a growing function at infinity. The
operator L allows closure in the space L 2 ( R ) and the closure
also be denoted by L. In the paper, unde… Show more
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