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Asymptotic properties of solutions of second-order quasilinear functional-differential equations of neutral type. (English) Zbl 0973.34067
Summary: The authors prove the existence of nonoscillatory solutions with specific asymptotic behaviors to second-order quasilinear functional-differential equations of neutral type. Then sufficient, and necessary and sufficient conditions are established under which every solution to the equation is either oscillatory or tends to zero as \(t\to \infty \).

MSC:
34K25 Asymptotic theory of functional-differential equations
34K40 Neutral functional-differential equations
34K11 Oscillation theory of functional-differential equations
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