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Boundedness of solutions of a nonlinear nonautonomous neutral delay equation. (English) Zbl 0731.34089
The neutral type difference differential equation $$x'(t)\quad =\quad r(t)x(t) [a(t)-x(t-1)-c(t)x'(t-1)]$$ arising in population dynamics is considered. Conditions of boundedness and unboundedness of solutions of the Cauchy problem for this equation formulated in terms of coefficients and initial data are given.

##### MSC:
 34K40 Neutral functional-differential equations 34K99 Functional-differential equations
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##### References:
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