Existence of almost periodic weak type solutions for the conservative forced pendulum equation (Q1907000)
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scientific article; zbMATH DE number 838715
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Existence of almost periodic weak type solutions for the conservative forced pendulum equation |
scientific article; zbMATH DE number 838715 |
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Existence of almost periodic weak type solutions for the conservative forced pendulum equation (English)
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28 January 1996
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This paper gives sufficient conditions for the existence of almost periodic solutions to the conservative forced pendulum equation \(x''+ bx+ A\sin x= e\). Earlier, this was solved for the case \(b= 0\) and \(0< A< 2\pi/T\) (see, e.g., \textit{A. Castro} [Differential Equations, Proc. 8th Fall Conf., Okla. State Univ. 1979, 149-160 (1980; Zbl 0569.34039)]).
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almost periodic solutions
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conservative forced pendulum equation
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