Approximate solutions of a nonlinear differential equation (Q1120039)
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scientific article; zbMATH DE number 4099702
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Approximate solutions of a nonlinear differential equation |
scientific article; zbMATH DE number 4099702 |
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Approximate solutions of a nonlinear differential equation (English)
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1988
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Solutions in form of convergent series are given for the initial value problem \(\ddot x+\alpha^ mx^ 2=\beta^ mx^{m+2},\) \(x(0)=A\) and \(\dot x(0)=0\), \(m\geq 1\). This is done by adopting a technique of \textit{A. A. Shidfar} and \textit{A. A. Sadeghi}, [J. Math. Anal. Appl. 120, 488-493 (1986; Zbl 0618.34012)].
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series solution
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