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Zbl 1054.34128
Wang, Xiaoping; Liao, Liusheng
Asymptotic behavior of solutions of neutral differential equations with positive and negative coefficients. (English)
[J] J. Math. Anal. Appl. 279, No. 1, 326-338 (2003). ISSN 0022-247X

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 $t\to \infty$. \par 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)].
[Eduardo Hernández Morales (São Carlos)]

MSC 2000:: *34K25 Asymptotic theory of functional-differential equations
34K40 Neutral equations

Keywords: neutral equations; asymptotic behavior

Citations: Zbl 0844.34078

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