Direct and inverse spectral problems for discrete Sturm-Liouville problem with generalized function potential

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作者
Bayram Bala
Abdullah Kablan
Manaf Dzh Manafov
机构
[1] Gaziantep University,Faculty of Arts and Sciences, Department of Mathematics
[2] Adıyaman University,Faculty of Arts and Sciences, Department of Mathematics
关键词
difference equation; inverse problems; generalized spectral function; 39A12; 34A55; 34L15;
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摘要
In this work, we study the inverse problem for difference equations which are constructed by the Sturm-Liouville equations with generalized function potential from the generalized spectral function (GSF). Some formulas are given in order to obtain the matrix J, which need not be symmetric, by using the GSF and the structure of the GSF is studied.
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