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Oscillation by impulses for a second-order delay differential equation - MaRDI portal

Oscillation by impulses for a second-order delay differential equation (Q2458503)

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Oscillation by impulses for a second-order delay differential equation
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    Oscillation by impulses for a second-order delay differential equation (English)
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    1 November 2007
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    The authors obtain sufficient conditions for the oscillation of all solutions of the following impulsive differential equation of second order \[ x''(t)+ f(t, x(t), x'(t))+g(t,x(t),x(t-\tau))=0,\quad t\neq t_k, \] \[ x(t_k)=I_k(x(t_k^-)), \quad x'(t_k)=J(x'(t_k^-)), \quad k=1,2,\dots. \]
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    Delay differential equations
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    second order
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    oscillation
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    impulses
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