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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2016 / Volume: 65 Issue: 2

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

Tuba Gulsen
Emrah Yılmaz
Pages
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Publication Date
2016-08-01
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Furthermore, this method is similar to used in [1], our results are more general.

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:To find the spectral datas as eigen values and nodal parameters of this problem, we used a modified Prefer substitution.
💡
Conclusion & Impact:Furthermore, this method is similar to used in [1], our results are more general.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables:Inverse Nodal Problem · Prüfer Substitution · Diğusion equation

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.

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Cite This Article

Gulsen, T., Yılmaz, E. (2016). INVERSE NODAL PROBLEM FORp LAPLACIAN DIFFUSION EQUATION WITH POLYNOMIALLY DEPENDENT SPECTRAL PARAMETER. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 65 Issue: 2. https://doi.org/10.1501/Commua1_0000000756

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  39. Current address: Tuba GULSEN: Firat University, Department of Mathematics, 23119, Elazıg TURKEY
  40. E-mail address: [email protected]
  41. Current address: Emrah YILMAZ: Firat University, Department of Mathematics, 23119, Elazıg TURKEY
  42. E-mail address: [email protected]
  43. Brown, B. M. and Reichel,W. 2004. Eigenvalues of the radially symmetric p Laplacian in Rn, J. Lond. Math. Soc. 69, 657-675.
  44. Current address: Tuba GULSEN: Firat University, Department of Mathematics, 23119, Elazıg TURKEY
  45. E-mail address: [email protected]
  46. Current address: Emrah YILMAZ: Firat University, Department of Mathematics, 23119, Elazıg TURKEY
  47. E-mail address: [email protected]