Inverse Nodal Problem for p-Laplacian String Equation with Prüfer Substitution

Authors

  • Emrah Yilmaz Firat University, Department of Mathematics, Turkey
  • Tuba Gulsen Firat University, Department of Mathematics, Turkey
  • Hikmet Koyunbakan Firat University, Department of Mathematics, Turkey

DOI:

https://doi.org/10.7546/CRABS.2022.09.02

Keywords:

inverse nodal problem, Pr¨ufer substitution, p-Laplacian string equation

Abstract

We consider an inverse nodal problem for p-Laplacian string equation under some boundary conditions. Asymptotic formulas for eigenvalues and nodal parameters are constructed by modified Pr¨ufer substitution. The most important process is to apply modified Pr¨ufer substitution to get an exhaustive asymptotic estimate for eigenvalues. Moreover, a reconstruction formula for density function of p-aplacian string equation is obtained by nodal parameters. Generated outcomes are the generalization of the known string problem.

Author Biographies

Emrah Yilmaz, Firat University, Department of Mathematics, Turkey

Mailing Address:
Firat University,
Department of Mathematics
23119 Elazıg, Turkey

E-mail: emrah231983@gmail.com

Tuba Gulsen, Firat University, Department of Mathematics, Turkey

Mailing Address:
Firat University,
Department of Mathematics
23119 Elazıg, Turkey

E-mail: tubagulsen87@hotmail.com

Hikmet Koyunbakan, Firat University, Department of Mathematics, Turkey

Mailing Address:
Firat University,
Department of Mathematics
23119 Elazıg, Turkey

E-mail: hkoyunbakan@gmail.com

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Published

30-09-2022

How to Cite

[1]
E. Yilmaz, T. Gulsen, and H. Koyunbakan, “Inverse Nodal Problem for p-Laplacian String Equation with Prüfer Substitution”, C. R. Acad. Bulg. Sci., vol. 75, no. 9, pp. 1262–1270, Sep. 2022.

Issue

Section

Mathematics