On the uniqueness criterion for solutions of the Sturm-Liouville equation

DOI10.1134/S000143460809023XzbMath1162.34070MaRDI QIDQ2518072

Kh. K. Ishkin

Publication date: 12 January 2009

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

uniqueness problemholomorphic functionSturm-Liouville equationmeromorphic functionBessel functionspectral problemRouché theoremsimple pole

Mathematics Subject Classification ID

Particular ordinary differential operators (Dirac, one-dimensional Schrödinger, etc.) (34L40) Sturm-Liouville theory (34B24) Entire and meromorphic solutions to ordinary differential equations in the complex domain (34M05)

Related Items (9)

Localization criterion for the spectrum of the Sturm–Liouville operator on a curve ⋮ On analytic perturbations of a non-self-adjoint anharmonic oscillator ⋮ Spectral properties of the nonsectorial Sturm-Liouville operator on the semiaxis ⋮ On a trivial monodromy criterion for the Sturm-Liouville equation ⋮ Regularized trace of a Sturm-Liouville operator on a curve with a regular singularity on the chord ⋮ Inverse Problem for Sturm – Liouville Operators in the Complex Plane ⋮ On the class of potentials with trivial monodromy ⋮ Monodromy-quasifree singular points of the Sturm-Liouville equation of standard form on the complex plane ⋮ An analogue of the Gelfand-Levitan trace formula for the Sturm-Liouville operator with a meromorphic potential

Cites Work

• Necessary conditions for the localization of the spectrum of the Sturm-Liouville problem on a curve
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