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Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses. - MaRDI portal

Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses. (Q1432798)

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scientific article; zbMATH DE number 2076572
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Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses.
scientific article; zbMATH DE number 2076572

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    Asymptotic behavior of solutions of forced nonlinear neutral delay differential equations with impulses. (English)
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    22 June 2004
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    The authors study the asymptotic behavior of the following equation \[ \biggl[x(t)-\sum_{i=1}^m p_i(t)x(t-\tau_i) \biggr]'+\sum_{j=1}^n q_j(t)f(x(t-\sigma_j))=r(t), \quad t\geq t_0,\;t\neq t_k, \] \[ x(t_k^{+})-x(t_k)=b_kx(t_k),\quad k=1,2,\dots. \] The nonoscillatory and oscillatory cases are considered separately. They extend and improve some known results for such equations.
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    nonlinear neutral delay differential equation
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    asymptotic behavior
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    impulses
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