A SPECIFIC STURM-LIOUVILLE DIFFERENTIAL EQUATION

被引:2
|
作者
Tanriverdi, Tanfer [1 ]
机构
[1] Harran Univ, Fac Arts & Sci, Dept Math, Sanliurfa, Turkey
来源
THERMAL SCIENCE | 2019年 / 23卷
关键词
Sturm-Liouville; Schrodinger equation; energy equation; energy states; eigenfunctions; complex residues; explicit solution;
D O I
10.2298/TSCI180917329T
中图分类号
O414.1 [热力学];
学科分类号
摘要
Explicit solutions of the second order ODE: y ''(x) + (lambda + 12 sech(2) x)y(x) = 0 and its eigenpairs are obtained by calculating complex residues. Eigenpairs (energy states and energy function), spectral function and eigenfunction expansions are also reported.
引用
收藏
页码:S47 / S56
页数:10
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