Periodic solutions to nonlinear Euler-Bernoulli beam equations (Q2285639)
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| Language | Label | Description | Also known as |
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| English | Periodic solutions to nonlinear Euler-Bernoulli beam equations |
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Periodic solutions to nonlinear Euler-Bernoulli beam equations (English)
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8 January 2020
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This rather technical paper shows the existence of time periodic solutions for an Euler-Bernoulli beam equation with periodic source terms of periode \(2\pi\). The argument employed to prove this result combines a Lyapunov-Schmidt reduction to the Nash-Moser method.
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Euler-Bernoulli beam equations
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variable coefficients
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periodic solutions
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Nash-Moser iteration
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Lyapunov-Schmidt reduction
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