On a two-point boundary value problem of Duffing type equation with Dirichlet conditions (Q1807862)
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scientific article; zbMATH DE number 1367971
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On a two-point boundary value problem of Duffing type equation with Dirichlet conditions |
scientific article; zbMATH DE number 1367971 |
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On a two-point boundary value problem of Duffing type equation with Dirichlet conditions (English)
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21 May 2000
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The paper is devoted to the study of the following boundary value problem \[ u''+cu+g(t,u)=e(t),\qquad u(0)=u(\pi)=0. \] The authors obtain an existence and uniqueness result under suitable conditions on e and g. Their arguments are based on the application of a min-max theorem for \(C^{2}\) functionals.
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Duffing-type equation
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Dirichlet condition
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min-max theorem
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Hilbert space
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