Journals / Contemporary Analysis and Applied Mathematics / 2015 / Cilt: 3 - Sayı: 2

Zaman skalası üzerinde difüzyon denkleminin bazı spektral özellikleri

Some spectral properties of diffusion equation on time scales

Pages
238–246
Publication Date
2022-10-11
DOI
—
🏛️Bibliographic metadata and full text access for this article are provided via DergiPark.
DergiPark Record ↗
✨

AI Summary & Key Takeaways

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

Additionally, we prove some fundamental theorems for this problem and define some concepts on time scale.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we give some basic spectral properties of diffusion eigenvalue problem on an arbitrary time scale.
📊
Key Findings & Data:In this study, we give some basic spectral properties of diffusion eigenvalue problem on an arbitrary time scale.
💡
Conclusion & Impact:Additionally, we prove some fundamental theorems for this problem and define some concepts on time scale.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

. In this study, we give some basic spectral properties of diffusion eigenvalue problem on an arbitrary time scale. Additionally, we prove some fundamental theorems for this problem and define some concepts on time scale.

Özet

Bu çalışmada, keyfi bir zaman skalası üzerinde difüzyon öz değer probleminin bazı temel spektral özellikleri verilmiştir. Buna ilaveten, bu problem için zaman skalası üzerinde bazı temel teoremler ispatlanmış ve bazı kavramlar tanımlanmıştır.

🔖

Cite This Article

İÇ, Ü., YILMAZ, E., KOYUNBAKAN, H. (2022). Zaman skalası üzerinde difüzyon denkleminin bazı spektral özellikleri. Contemporary Analysis and Applied Mathematics, Cilt: 3 - Sayı: 2, 238–246. https://ajindex.com/articles/476448

📄 Full Text PDF Viewer

📄

PDF görüntüleyici hazırlanıyor...

References (16)

  1. S. Hilger, Ein Makettenkalkl mit Anwendung auf Zentrumsmannigfaltigkeiten, Ph.D. Thesis, Universtat Wurzburg, 1988
  2. S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results in Mathematics 18 (1990) 19-56
  3. B. Aulbach, S. Hilger, A unified approach to continuous and discrete dynamics, in: Qualitative Theory of Differential Equations (Szeged, 1988), volume 53 of Colloquia Mathematica Societatis J´anos Bolyai, pp. 37-56, North-Holland, Amsterdam, 1990
  4. M. Bohner, Calculus of variations on time scales, Dynamic Systems and Applications 13 (34) (2004) 339-349
  5. R. Hilscher, V. Zeidan, Calculus of variations on time scales: Weak local piecewise C 1 rd solutions with variable endpoints, Journal of Mathematical Analysis and Applications 289 (1) (2004) 143-166
  6. F. M. Atici, G. S. Guseinov, On Greens functions and positive solutions for boundary value problems on time scales, Journal of Computational and Applied Mathematics 141 (2002) 75–99
  7. M. C. Caputo, Time scales: from nabla calculus to delta calculus and vice versa via duality, International Journal of Difference Equations 5 (1) (2010) 25-40
  8. M. Bohner, A. Peterson, Dynamic Equations on Time Scales, Birkh¨auser, Boston, MA, 2001
  9. M. Bohner, A. Peterson, Advances in Dynamic Equations on Time Scales, Birkh¨auser, Boston, MA, 2003
  10. M. Jaulent, C. Jean, The inverses-wave scattering problem for a class of potentials depending on energy, Communications in Mathematical Physics 28 (3) (1972) 177- 220
  11. M. G. Gasymov, G. Sh. Guseinov, Determination of a diffusion operator from the spectral data, Doklady Akademii Nauk Azerbaijan SSSR 37 (2) (1981) 19-23
  12. H. Koyunbakan, E. Yılmaz, Reconstruction of the potential function and its derivatives for the diffusion operator, Verlag der Zeitschrift f¨ur Naturforch 63 (a) (2008) 127-130
  13. H. Koyunbakan, Reconstruction of potential function for diffusion operator, Numerical Functional Analysis and Optimization 29 (7-8) (2008) 1-10
  14. R. P. Agarwal, M. Bohner, P. J. Y. Wong, Sturm–Liouville eigenvalue problems on time scales, Applied Mathematics and Computation 99 (2-3) (1999) 153–166
  15. R. P. Agarwal, M. Bohner, D. O’Regan, Time scale boundary value problems on infinite intervals, Journal of Computational and Applied Mathematics 141 (2002) 27–34
  16. R. P. Agarwal, M. Bohner, Basic calculus on time scales and some of its applications, Results in Mathematics 35 (1999) 3–22