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Zbl 1023.34057
Džurina, Jozef
On unstable neutral differential equations of the second order.
(English)
[J] Czech. Math. J. 52, No.4, 739-747 (2002). ISSN 0011-4642; ISSN 1572-9141/e

Summary: The author presents sufficient conditions for all bounded solutions to the second-order neutral differential equation $$ \big (x(t)-px(t-\tau)\big)''- q(t)x\big (\sigma (t)\big)=0 $$ to be oscillatory and to improve some existing results. The main results are based on comparison principles.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: neutral equation; delayed argument

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Highlights
Scientific prize winners of the ICM 2010
Overhang
Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

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