Hikmet Koyunbakan, Tuba Gulsen, Emrah Yilmaz
Abstract:
In this article, we extend solution of inverse nodal problem for
one-dimensional p-Laplacian equation to the case when the
boundary condition is polynomially eigenparameter.
To find the spectral data as eigenvalues and nodal parameters, a
Prufer substitution is used.
Then, we give a reconstruction formula of the potential function
by using nodal lengths. This method is similar to used in [24],
and our results are more general.
Submitted February 20, 2017. Published January 10, 2018.
Math Subject Classifications: 34A55, 34L05, 34L20.
Key Words: Inverse nodal problem; Prufer substitution;
Sturm-Liouville equation.
Show me the PDF file (214 KB), TEX file for this article.
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Hikmet Koyunbakan Firat University Department of Mathematics 23119, Elazig, Turkey email: hkoyunbakan@gmail.com |
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Tuba Gulsen Firat University Department of Mathematics 23119, Elazig, Turkey email: tubagulsen87@hotmail.com |
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Emrah Yilmaz Firat University Department of Mathematics 23119, Elazig, Turkey email: emrah231983@gmail.com |
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