An inverse nodal problem for \({p}\)-Laplacian Sturm-Liouville equation with Coulomb potential
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Authors
Tuba Gulsen
- Department of Mathematics, Firat University, 23119, Elazig, Turkey.
Abstract
We deal with an inverse nodal problem for
\(p\)-Laplacian Sturm-Liouville equation which
includes Coulomb type potential function under boundary condition depends on
polynomial spectral parameter. Here, we get some asymptotic formulas of
eigenvalues and nodal parameters by using a suitable Prüfer substitution. Eventually, we construct Coulomb potential by using nodal
lengths.
Share and Cite
ISRP Style
Tuba Gulsen, An inverse nodal problem for \({p}\)-Laplacian Sturm-Liouville equation with Coulomb potential, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 10, 5393--5401
AMA Style
Gulsen Tuba, An inverse nodal problem for \({p}\)-Laplacian Sturm-Liouville equation with Coulomb potential. J. Nonlinear Sci. Appl. (2017); 10(10):5393--5401
Chicago/Turabian Style
Gulsen, Tuba. "An inverse nodal problem for \({p}\)-Laplacian Sturm-Liouville equation with Coulomb potential." Journal of Nonlinear Sciences and Applications, 10, no. 10 (2017): 5393--5401
Keywords
- Inverse nodal problem
- Prüfer substitution
- Coulomb potential
MSC
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