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Asymptotic behavior of nonoscillatory solutions to \(n\)-th order nonlinear neutral differential equations. (English) Zbl 1157.34057
For the class of \(n\)th order nonlinear neutral differential equations
\[ (x(t)+p(t)x(t-\tau))^{(n)}+f(t,x(t),x(\rho(t)),x'(t),x'(\sigma(t)))=0 \]
sufficient conditions for all nonoscillatory solutions to satisfy \(\lim_{t\to\infty}t^{1-n}x(t)=a\) are presented.

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