MATHEMATICA BOHEMICA, Vol. 130, No. 3, pp. 323-333, 2005

Oscillation of unstable second order neutral differential equations with mixed argument

Jozef Dzurina, Viktor Pirc

Jozef Dzurina, Viktor Pirc, Department of Mathematics, Faculty of Electrical Engineering and Informatics, Technical University, B. Nemcovej 32, 042 00 Kosice, Slovakia, e-mail: jozef.dzurina@tuke.sk, viktor.pirc@tuke.sk

Abstract: The aim of this paper is to present new oscillatory criteria for the second order neutral differential equation with mixed argument
(x(t)-px(t-\tau))"- q(t)x(\sigma(t))=0.
The results include also sufficient conditions for bounded and unbounded oscillation of the equations considered.

Keywords: neutral equation, mixed argument

Classification (MSC 2000): 34C10

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