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


  • Jozef Kiselak



Lyapunov-type inequality, half-linear, third-order differential equations, oscillatory solution


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.

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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How to Cite

Kiselak, J. (2013). Lyapunov-type inequality for third-order half-linear differential equations. Tamkang Journal of Mathematics, 44(4), 351–357.