# zbMATH — the first resource for mathematics

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
Full Text: