Oscillatory behavior of \(n\)-th order nonlinear neutral differential equations (Q2783623)
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scientific article; zbMATH DE number 1730613
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillatory behavior of \(n\)-th order nonlinear neutral differential equations |
scientific article; zbMATH DE number 1730613 |
Statements
12 January 2003
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oscillatory behavior
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\(n\)th order
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nonlinear neutral equations
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Oscillatory behavior of \(n\)-th order nonlinear neutral differential equations (English)
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The author extends the well-known oscillation integral condition NEWLINE\[NEWLINE \int^{\infty} p(t) dt=\infty NEWLINE\]NEWLINE for the delay differential equation NEWLINE\[NEWLINE\dot x(t)+ p(t) x(t-\tau)= 0NEWLINE\]NEWLINE to \(n\)th-order nonlinear neutral equations with continuous deviating arguments NEWLINE\[NEWLINE[a(t)[x(t)+p(t)x(\tau(t))]^{(n-1)}]'\pm \int_c^d q(t,\psi)f(x(\sigma(t,\psi))) d\psi=0.NEWLINE\]
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