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

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

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39. Current address : Tuba GULSEN : Firat University, Department of Mathematics, 23119, Elazıg TURKEY
40. E-mail address : [e-mail]
41. Current address : Emrah YILMAZ : Firat University, Department of Mathematics, 23119, Elazıg TURKEY
42. E-mail address : [e-mail]