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Zbl 1193.34137
Xu, Run; Meng, Fanwei
Oscillation criteria for second order quasi-linear neutral delay differential equations.
(English)
[J] Appl. Math. Comput. 192, No. 1, 216-222 (2007). ISSN 0096-3003

Summary: Some new oscillation criteria for second order neutral nonlinear differential equation $[r(t)|(x(t)+p(t)x((\sigma (t))))'|m-1(x(t)+p(t)x((\sigma (t))))''+q(t)f(x(\tau (t)))=0$ are established. New oscillation criteria are different from most known ones in the sense that they are based on a class of new functions $\Phi (t,s,l)$ defined in the sequel.
MSC 2000:
*34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: oscillation; second order; nonlinear differential equations; neutral type

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