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Tanfer Tanriverdi

A SPECIFIC STURM-LIOUVILLE DIFFERENTIAL EQUATION

ABSTRACT
Explicit solutions of the second order ordinary differential equation y′′(x)+(λ+12 sech2x)y(x)=0 and its eigenpairs are obtained by calculating complex residues. Eigenpairs (energey states and energy function), spectral function and eigenfunction expansions are also reported.
KEYWORDS
Sturm-Liouville, Schrödinger equation, Energy equation, energy states, Eigen functions, complex residues, explicit solution
PAPER SUBMITTED: 2018-09-17
PAPER REVISED: 2018-10-08
PAPER ACCEPTED: 2018-10-27
PUBLISHED ONLINE: 2018-12-16
DOI REFERENCE: https://doi.org/10.2298/TSCI180917329T
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2019, VOLUME 23, ISSUE Supplement 1, PAGES [S47 - S56]
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A specific Sturm-Liouville differential equation

© 2024 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, National Institute of the Republic of Serbia, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence