Parameter-Dependent Dirac Systems on Time Scales
Abstract
Keywords
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 2018 Volume: 39 Number: 4
Cited By
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