Oscillation and convergence to zero of solutions of damped second-order nonlinear differential equations (Q1064446)
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scientific article; zbMATH DE number 3918843
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Oscillation and convergence to zero of solutions of damped second-order nonlinear differential equations |
scientific article; zbMATH DE number 3918843 |
Statements
Oscillation and convergence to zero of solutions of damped second-order nonlinear differential equations (English)
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1984
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The authors study the differential equation \[ [a(t)\psi [x(t)]x^.(t)]^.+p(t)K[t,x(t),x^.(t)]x^.(t)+q(t)f[x(t)]=0 \] under mild hypotheses. They establish conditions for bounded, oscillatory, oscillatory with non-increasing amplitude and evanescent solutions.
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second-order nonlinear differential equation
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non-increasing amplitude
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evanescent solutions
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