Lyapunov-type inequality for third-order half-linear differential equations

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Published: Dec 24, 2013
DOI: https://doi.org/10.5556/j.tkjm.44.2013.946
Keywords:
Lyapunov-type inequality half-linear third-order differential equations oscillatory solution

Main Article Content

Jozef Kiselak

Abstract

In this paper, we give a proof of a Lyapunov-type inequality for third-order half-linear differential equations. Then some applications, e.g.~the distance between consecutive zeros of a solution, are studied with the help of the inequality.

Article Details

How to Cite
Kiselak, J. (2013). Lyapunov-type inequality for third-order half-linear differential equations. Tamkang Journal of Mathematics, 44(4), 351–357. https://doi.org/10.5556/j.tkjm.44.2013.946
Issue
Vol. 44 No. 4 (2013)
Section
Papers
Author Biography

Jozef Kiselak

Institute ofMathematics, Faculty of Science, P.J.Šafárik University in Košice, Jesenná 5, 040 01 Košice, Slovakia.

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