Zaman Skalaları Üzerinde Parametreye Bağlı Dirac Sistemleri
Öz
Bu çalışmada bir zaman skalası üzerinde iki farklı genelleştirilmiş
Dirac sistemi ve parametreye bağlı sınır koşulları ile üretilen bir sınır değer
problemi ele alınmıştır. Sistemlerin
eşleniksiz (disconjugate) olması için yeterli koşullar ve problemin özdeğerlerinin
sayısı ile ilgili bir formül elde edilmiştir.
Anahtar Kelimeler
References
- [1]. Hilger, S., Analysis on measure chains – a unified approach to continuous and discrete calculus. Results in Math., 18 (1990) 18-56.
- [2]. Erbe, L., Hilger, S., Sturmian theory on measure chains, Differ. Equ. Dyn. Syst., 1 (1993) 223-244.
- [3]. Agarwal, R.P., Bohner, M., Wong, P.J.Y., Sturm-Liouville eigenvalue problems on time scales, Appl. Math. Comput., 99 (1999) 153-166.
- [4]. Allahverdiev, B.P., Eryilmaz, A., Tuna, H., Dissipative Sturm-Liouville operators with a spectral parameter in the boundary condition on bounded time scales, Electronic Journal of Differential Equations, 95 (2017) 1–13.
- [5]. Amster, P., De Napoli, P., Pinasco, J.P., Eigenvalue distribution of second-order dynamic equations on time scales considered as fractals, J. Math. Anal. Appl., 343 (2008) 573-584.
- [6]. Amster, P., De Napoli, P., Pinasco, J.P., Detailed asymptotic of eigenvalues on time scales, J. Differ. Equ. Appl., 15 (2009) 225-231.
- [7]. Davidson, F.A., Rynne, B.P., Global bifurcation on time scales, J. Math. Anal. Appl., 267 (2002) 345-360.
- [8]. Davidson, F.A., Rynne, B.P., Self-adjoint boundary value problems on time scales, Electron. J. Differ. Equ., 175 (2007) 1-10.
Details
Primary Language
English
Subjects
-
Journal Section
Research Article
Authors
Publication Date
December 24, 2018
Submission Date
October 18, 2018
Acceptance Date
November 20, 2018
Published in Issue
Year 1970 Volume: 39 Number: 4
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