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Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients. (English) Zbl 1054.34128
The authors establish sufficient conditions under which every solution of the neutral differential equation $$[x(t)-P(t)x(t-\tau)]'+Q_{1}(t)x(t-\sigma_{1})-Q_{2}(t)x(t-\sigma_{2})=0, \quad t\geq t_{0},$$ with $\tau,\sigma_{1},\sigma_{2} \in (0,\infty)$ and $P,Q_{i}\in C([0,\infty):\Bbb{R})$, tends to zero as $t\to \infty$. The results in this work relaxes the restrictions on the coefficients and delays in {\it J. H. Shen} and {\it J. S. Yu, } [J. Math. Anal. Appl. 195, No. 2, 517--526 (1995; Zbl 0844.34078)].

##### MSC:
 34K25 Asymptotic theory of functional-differential equations 34K40 Neutral functional-differential equations
##### Keywords:
neutral equations; asymptotic behavior
Full Text:
##### References:
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