Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations (Q1765070)
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scientific article; zbMATH DE number 2137140
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations |
scientific article; zbMATH DE number 2137140 |
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Oscillation and asymptotic behavior for second-order nonlinear perturbed differential equations (English)
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22 February 2005
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The authors deal with second-order perturbed differential equations of the form \[ [r(t)\psi(x(t))x'(t)]'+p(t)x'(t)+Q(t,x(t))=P(t,x(t),x'(t)). \] Using Riccati transformation and averaging technique, new oscillatory criteria are obtained. Criteria for the asymptotics of the forced equation are also established.
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nonlinear
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perturbed
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oscillation
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asymptotic behavior
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