KaydedilenlerDerginizi ekleyin

Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2017 / Cilt: 66 - Sayı: 2

On a lipschitz stability problem for p-Laplacian Bessel equation

Tuba GULSEN
Emrah YILMAZ
S. PANAKHOV E.
Sayfa
253–262
Yayın Tarihi
2017-08-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

And, it is also proved that the spaceof all potential functions w is homeomorphic to the partition set of all asymptotically equivalent nodal sequences induced by an equivalence relation

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this study, we are enunciative of some asymptotic expansionsand reconstruction formulas for inverse nodal problem of p-Laplacian Besselequation.Dirichlet boundary conditions is solved.
📊
Temel Bulgular & Veri:In this study, we are enunciative of some asymptotic expansionsand reconstruction formulas for inverse nodal problem of p-Laplacian Besselequation.Dirichlet boundary conditions is solved.
💡
Sonuç & Katkı:And, it is also proved that the spaceof all potential functions w is homeomorphic to the partition set of all asymptotically equivalent nodal sequences induced by an equivalence relation
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:p Laplacian Bessel equation · Inverse nodal problem · Lipschitzstability

Abstract

In this study, we are enunciative of some asymptotic expansionsand reconstruction formulas for inverse nodal problem of p-Laplacian Besselequation.Dirichlet boundary conditions is solved. And, it is also proved that the spaceof all potential functions w is homeomorphic to the partition set of all asymptotically equivalent nodal sequences induced by an equivalence relation

🔖

Bu Makaleye Atıf Yap

GULSEN, T., YILMAZ, E., E., S. P. (2017). On a lipschitz stability problem for p-Laplacian Bessel equation. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 66 - Sayı: 2, 253–262. https://ajindex.com/articles/747249

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (14)

  1. Koyunbakan, H., Inverse nodal problem for p Laplacian energy-dependent Sturm-Liouville equation, Boundary Value Problems, 2013:272 (2013) (Erratum: Inverse nodal problem for p-Laplacian energy-dependent Sturm-Liouville equation, Boundary Value Problems, 2014:222 (2014).
  2. Coskun, M., Gulsen, T., Koyunbakan, H., Inverse nodal problem for p Laplacian Bessel Equation (Submitted to the journal). Hamadamen, M. H., Inverse nodal problem for p Laplacian diğerential operators, Master Thesis, The institute of Natural and Applied Sciences, Firat University, (2017).
  3. Baumeister, J., Stable solution of inverse problems, Advanced Lectures in Mathematics, (1987).
  4. Ambarzumyan, V.A., Uber eine Frage der Eigenwerttheorie, Zeitschrift für Physik, 53, 690– 695 (1929).
  5. Bas, E., Panakhov, E. S., Yilmazer, R., The uniqueness theorem for hydrogen atom equation, TWMS Journal of Pure and Applied Mathematics, 4(1), 20-28 (2013).
  6. Bondarenko, N., An inverse spectral problem for the matrix Sturm-Liouville operator with a Bessel-type singularity, International Journal of Diğerential Equations, Art. ID 647396, 4 pp. (2015).
  7. Guldu, Y., Amirov, R. Kh., Topsakal, N., On impulsive Sturm-Liouville operators with sin- gularity and spectral parameter in boundary conditions, Ukrainian Mathematical Journal, 64(12), 1816–1838 (2013).
  8. McLeod, J. B., The distribution of the eigenvalues for the Hydrogen atom and similar cases, Proceedings of the London Mathematical Society, 3(1), 139-158 (1961).
  9. Masood, K., Messaoudi, S., Zaman, F. D., Initial inverse problem in heat equation with Bessel operator, International Journal of Heat and Mass Transfer, 45, 2959–2965 (2002).
  10. Albeverio, S., Hryniv, R., Mykytyuk, Y., Inverse spectral problems for Bessel operators, Journal of Diğerential Equations, 241(1), 130–159 (2007).
  11. Hryniv, R., Sacks, P., Numerical solution of the inverse spectral problem for Bessel operators, Journal of Computational and Applied Mathematics, 235(1), 120–136 (2010).
  12. Alekseeva, V. S., Ananieva, A. Y., On extensions of the Bessel operator on a …nite interval and a half-line, Journal of Mathematical Sciences, 187(1), 1-8 (2012).
  13. Sat, M., Panakhov, E. S., A uniqueness theorem for Bessel operator from interior spectral data, Abstract and Applied Analysis, Volume 2013, Article ID 713654, 6 pages. Yilmaz, E., Koyunbakan, H., Some Ambarzumyan type theorems for Bessel operator on a …nite interval, Diğerential Equations and Dynamical Systems, (2016).
  14. McLaughlin, J. R., Inverse spectral theory using n