Electron. J. Differential Equations, Vol. 2017 (2017), No. 37, pp. 1-13.

Eigenvalue problems for singular multi-point dynamic equations on time scales

Abdulkadir Dogan

In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results.

Submitted March 18, 2016. Published February 2, 2017.
Math Subject Classifications: 34B15, 34B16, 34B18, 39A10.
Key Words: 34B15, 34B16, 34B18, 39A10.

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Abdulkadir Dogan
Department of Applied Mathematics
Faculty of Computer Sciences
Abdullah Gul University, Kayseri 38039, Turkey.
Tel: +90 352 224 88 00, Fax:+90 352 338 88 28
email: abdulkadir.dogan@agu.edu.tr

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