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Dergiler / Turkish Journal of Mathematics / 2005 / Cilt: 29 - Sayı: 4

Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions

Gusein Sh. GUSEINOV
Sayfa
365–380
Yayın Tarihi
2005-04-01
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

The symmetry peoperty of the corresponding Green's functions is emphasized.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed.
📊
Temel Bulgular & Veri:In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed.
💡
Sonuç & Katkı:The symmetry peoperty of the corresponding Green's functions is emphasized.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Time scales · self-adjoint differential expressions · self-adjoint boundary conditions

Özet

In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Green's functions is emphasized.

Abstract

In this note, higher order self-adjoint differential expressions on time scales, and associated with them self-adjoint boundary conditions, are discussed. The symmetry peoperty of the corresponding Green's functions is emphasized.

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Bu Makaleye Atıf Yap

GUSEINOV, G. S. (2005). Self-Adjoint Boundary Value Problems on Time Scales and Symmetric Green's Functions. Turkish Journal of Mathematics, Cilt: 29 - Sayı: 4, 365–380. https://ajindex.com/articles/723404

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Kaynakça (8)

  1. Anderson, D. R. and Hoffacker, J.: Green’s function for an even order mixed derivative problem on time scales, Dynam. Systems Appl., 12 (2003), 9-22
  2. Anderson, D. R. and Hoffacker, J.: A stacked delta-nabla self-adjoint problem of even order, Math. Comput. Modelling, 38 (2003), 481-494
  3. Atici, F. M. and Guseinov, G. Sh.: On Green’s functions and positive solutions for boundary value problems on time scales, J. Comput. Appl. Math., 141 (2002), 75-99
  4. Aulbach, B. and Hilger, S.: Linear dynamic processes with inhomogeneous time scale, Nonlinear Dynamics and Quantum Dynamical Systems, (Gaussig, 1990) volume 59 of Math. Res., 9-20. Akademie Verlag, Berlin, 1990
  5. Bohner, M. and Peterson, A.: Dynamic Equations on Time Scales: An Intruduction with Applications, Birkha¨user, Boston, 2001
  6. Bohner, M. and Peterson, A., editors,: Advances in Dynamic Equations on Time Scales, Birkha¨user, Boston, 2003
  7. Guseinov, G. Sh.: Integration on time scales, J. Math. Anal. Appl., 285 (2003), 107-127
  8. Hilger, S.: Analysis on measure chains - a unified approach to continuous and discrete calculus, Results Math., 18 (1990), 18-56.