Research Article

Parameter-Dependent Dirac Systems on Time Scales

Volume: 39 Number: 4 December 24, 2018
TR EN

Parameter-Dependent Dirac Systems on Time Scales

Abstract

In this study, we consider two generalized Dirac systems on a time scale and a boundary-value problem with boundary conditions depending on the spectral parameter. We give some sufficient conditions for disconjugacy of the systems and obtain a formula about the number of eigenvalues of the problem.

Keywords

References

  1. [1]. Hilger, S., Analysis on measure chains – a unified approach to continuous and discrete calculus. Results in Math., 18 (1990) 18-56.
  2. [2]. Erbe, L., Hilger, S., Sturmian theory on measure chains, Differ. Equ. Dyn. Syst., 1 (1993) 223-244.
  3. [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. [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. [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. [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. [7]. Davidson, F.A., Rynne, B.P., Global bifurcation on time scales, J. Math. Anal. Appl., 267 (2002) 345-360.
  8. [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

Publication Date

December 24, 2018

Submission Date

October 18, 2018

Acceptance Date

November 20, 2018

Published in Issue

Year 2018 Volume: 39 Number: 4

APA
Özkan, A. S. (2018). Parameter-Dependent Dirac Systems on Time Scales. Cumhuriyet Science Journal, 39(4), 864-870. https://doi.org/10.17776/csj.471958
AMA
1.Özkan AS. Parameter-Dependent Dirac Systems on Time Scales. CSJ. 2018;39(4):864-870. doi:10.17776/csj.471958
Chicago
Özkan, Ahmet Sinan. 2018. “Parameter-Dependent Dirac Systems on Time Scales”. Cumhuriyet Science Journal 39 (4): 864-70. https://doi.org/10.17776/csj.471958.
EndNote
Özkan AS (December 1, 2018) Parameter-Dependent Dirac Systems on Time Scales. Cumhuriyet Science Journal 39 4 864–870.
IEEE
[1]A. S. Özkan, “Parameter-Dependent Dirac Systems on Time Scales”, CSJ, vol. 39, no. 4, pp. 864–870, Dec. 2018, doi: 10.17776/csj.471958.
ISNAD
Özkan, Ahmet Sinan. “Parameter-Dependent Dirac Systems on Time Scales”. Cumhuriyet Science Journal 39/4 (December 1, 2018): 864-870. https://doi.org/10.17776/csj.471958.
JAMA
1.Özkan AS. Parameter-Dependent Dirac Systems on Time Scales. CSJ. 2018;39:864–870.
MLA
Özkan, Ahmet Sinan. “Parameter-Dependent Dirac Systems on Time Scales”. Cumhuriyet Science Journal, vol. 39, no. 4, Dec. 2018, pp. 864-70, doi:10.17776/csj.471958.
Vancouver
1.Ahmet Sinan Özkan. Parameter-Dependent Dirac Systems on Time Scales. CSJ. 2018 Dec. 1;39(4):864-70. doi:10.17776/csj.471958

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