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On oscillation criteria for a forced neutral differential equation. (English) Zbl 0961.34059
From the authors’ abstract: Necessary and sufficient conditions are obtained so that every solution to $[y(t)- py(t-\tau)]'+ Q(t) G(y(t- \sigma))= f(t)\tag{$$*$$}$ is oscillatory or tends to zero as $$t\to\infty$$ for $$0\leq p<1$$ or $$p< 0$$ but $$\neq -1$$. For $$p>1$$, necessary and sufficient conditions are obtained so that every bounded solution to $$(*)$$ is oscillatory or tends to zero as $$t\to\infty$$.
Reviewer: W.M.Oliva (Lisboa)

##### MSC:
 34K11 Oscillation theory of functional-differential equations 34K40 Neutral functional-differential equations
##### Keywords:
oscillation; forced neutral differential equation