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Oscillation and nonoscillation criteria for delay differential equations. (English) Zbl 0828.34057
The equation \(x'(t)+ p(t) x(\tau(t))= 0\), \(t\geq t_0\), is considered with \(p(t)\geq 0\), \(\tau(t)< t\) for \(t\geq t_0\), \(\lim_{t\to +\infty} \tau(t)= +\infty\). Sufficient conditions are obtained for every proper solution of this equation to be oscillatory. They make more precise in a certain sense some earlier results.

34K11 Oscillation theory of functional-differential equations
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations
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