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Oscillation criteria for second order quasi-linear neutral delay differential equations. (English) Zbl 1193.34137

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:

34K11 Oscillation theory of functional-differential equations
34K40 Neutral functional-differential equations
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References:

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