Oscillations of second-order nonlinear neutral differential equations (Q2705282)

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Oscillations of second-order nonlinear neutral differential equations
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    3 July 2001
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    nonlinear neutral differential equation
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    oscillation
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    Oscillations of second-order nonlinear neutral differential equations (English)
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    Consider the second-order nonlinear differential equation NEWLINE\[NEWLINE [ r(t) \phi(y(t))[y(t)-\sum_{i=1}^{m}P_i(t)y(t-\tau _i)]']' \sum_{j=1}^{n}\int_{a}^{b} Q_j (t,\xi)f_j[y(g_j(t,\xi))]d\sigma(\xi) =0, \quad t\geq t_0,NEWLINE\]NEWLINE where \(\tau_i\) are real numbers. NEWLINENEWLINENEWLINEThe authors derive conditions guaranting the oscillation for all solutions to this equation.
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