INVERSE NODAL PROBLEM FORp LAPLACIAN DIFFUSION EQUATION WITH POLYNOMIALLY DEPENDENT SPECTRAL PARAMETER

Authors : Tuba GULSEN, Emrah YILMAZ

Pages : 23-36

Doi:10.1501/Commua1_0000000756

View : 13 | Download : 7

Publication Date : 2016-08-01

Article Type : Research Paper

Abstract :In this study, solution of inverse nodal problem for one-dimensional p-Laplacian diffusion equation is extended to the case that boundary condition depends on polynomial eigen parameter. To find the spectral datas as eigen values and nodal parameters of this problem, we used a modified Prefer substitution. Then, reconstruction formula of the potential function is also given by using nodal lenghts. Furthermore, this method is similar to used in [1], our results are more general.
Keywords : Inverse Nodal Problem, Prüfer Substitution, Diğusion equation