# Article

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Keywords:
quasilinear differential equations of neutral type; oscillatory; nonoscillatory solutions; Schauder-Tychonoff fixed-point theorem
Summary:
This paper establishes existence of nonoscillatory solutions with specific asymptotic behaviors of second order quasilinear functional differential equations of neutral type. Then sufficient, sufficient and necessary conditions are proved under which every solution of the equation is either oscillatory or tends to zero as $t \to\infty$.
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