Degenerate operators for ordinary differential equations

2018

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DOI 10.1063/1.5049018
Data confidence 70 medium
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Abstract

We consider the spectral problem for operators generated by ordinary differential equations. A degenerate operator means an operator whose point spectrum fills the whole complex plane, or a resolvent set fills the whole complex plane. Conditions are found for the coefficients of the general differential equation for which the corresponding operator is degenerate.