Asymptotics of Eigenvalues of Differential Operator With Alternating Weight Function

Asymptotics of Eigenvalues of Differential Operator With Alternating Weight Function We study a differential operator of the sixth order with an alternating weight function. The potential of the operator has a first-order discontinuity at some point of the segment, where the operator is being considered. The boundary conditions are separated. We study the asymptotics of solutions to the corresponding differential equations and the asymptotics of eigenvalues of the considered differential operator. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Mathematics Springer Journals

Asymptotics of Eigenvalues of Differential Operator With Alternating Weight Function

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Allerton Press, Inc.
Subject
Mathematics; Mathematics, general
ISSN
1066-369X
eISSN
1934-810X
D.O.I.
10.3103/S1066369X1806004X
Publisher site
See Article on Publisher Site

Abstract

We study a differential operator of the sixth order with an alternating weight function. The potential of the operator has a first-order discontinuity at some point of the segment, where the operator is being considered. The boundary conditions are separated. We study the asymptotics of solutions to the corresponding differential equations and the asymptotics of eigenvalues of the considered differential operator.

Journal

Russian MathematicsSpringer Journals

Published: May 30, 2018

References

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