Inverse nodal problem for a p-Laplacian Sturm-Liouville equation with polynomially boundary condition
Date
2018-01-10
Authors
Koyunbakan, Hikmet
Gulsen, Tuba
Yilmaz, Emrah
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
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.
Description
Keywords
Inverse nodal problem, Prufer substitution, Sturm-Liouville equation
Citation
Koyunbakan, H., Gulsen, T., & Yilmaz, E. (2018). Inverse nodal problem for a p-Laplacian Sturm-Liouville equation with polynomially boundary condition. <i>Electronic Journal of Differential Equations, 2018</i>(14), pp. 1-9.
Rights
Attribution 4.0 International