[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.5666/KMJ.2020.60.2.297

Comparative Analysis of Spectral Theory of Second Order Difference and Differential Operators with Unbounded Odd Coefficient

Nyamwala, Fredrick Oluoch (Department of Mathematics, Moi University)
Ambogo, David Otieno (Department of Pure and Applied Mathematics, Maseno University)
Ngala, Joyce Mukhwana (Department of Mathematics, Moi University)

Publication Information

Kyungpook Mathematical Journal / v.60, no.2, 2020 , pp. 297-305 More about this Journal

Abstract

We show that selfadjoint operator extensions of minimal second order difference operators have only discrete spectrum when the odd order coefficient is unbounded but grows or decays according to specific conditions. Selfadjoint operator extensions of minimal differential operator under similar growth and decay conditions on the coefficients have a absolutely continuous spectrum of multiplicity one.

Keywords

differential operators; selfadjoint realisations; deficiency indices; spectrum;

Citations & Related Records

Reference

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