Oscillation of even order nonlinear delay dynamic equations on time scales

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2013-03-01

Author

Erbe, Lynn
Mert, Raziye
Peterson, Allan
Zafer, Ağacık

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One of the important methods for studying the oscillation of higher order differential equations is to make a comparison with second order differential equations. The method involves using Taylor's Formula. In this paper we show how such a method can be used for a class of even order delay dynamic equations on time scales via comparison with second order dynamic inequalities. In particular, it is shown that nonexistence of an eventually positive solution of a certain second order delay dynamic inequality is sufficient for oscillation of even order dynamic equations on time scales. The arguments are based on Taylor monomials on time scales.

Subject Keywords

General Mathematics

URI

https://hdl.handle.net/11511/57401

Journal

CZECHOSLOVAK MATHEMATICAL JOURNAL

DOI

https://doi.org/10.1007/s10587-013-0017-1

Collections

Department of Mathematics, Article

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Citation Formats

L. Erbe, R. Mert, A. Peterson, and A. Zafer, “Oscillation of even order nonlinear delay dynamic equations on time scales,” CZECHOSLOVAK MATHEMATICAL JOURNAL, pp. 265–279, 2013, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/57401.