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Zbl 1142.34360
Xu, Run; Meng, Fanwei
New Kamenev-type oscillation criteria for second order neutral nonlinear differential equations. (English)
[J] Appl. Math. Comput. 188, No. 2, 1364-1370 (2007). ISSN 0096-3003

Six theorems are proved, which establish some new Kamenev-type oscillation criteria for second order neutral delay nonlinear differential equations. In view of the fact that the authors study the problem by using a new technique, the proved results are different in some sense from the most known ones. In the paper a new class of functions is defined. The existence of a function from this class which satisfies some integral conditions, guarantees that the equation is oscillatory. The established criteria in some sense are sharper than previous results obtained by other authors.
[Aleksandr Lomtatidze (Brno)]

MSC 2000:: *34K11 Oscillation theory of functional-differential equations
34K40 Neutral equations

Keywords: neutral type

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