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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.

34K11Oscillation theory of functional-differential equations
34K40Neutral functional-differential equations
Full Text: DOI
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