A two-point boundary value problem of Dirichlet type with resonance at infinitely many eigenvalues (Q914920)
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scientific article; zbMATH DE number 4150690
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A two-point boundary value problem of Dirichlet type with resonance at infinitely many eigenvalues |
scientific article; zbMATH DE number 4150690 |
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A two-point boundary value problem of Dirichlet type with resonance at infinitely many eigenvalues (English)
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1990
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The Leray-Schauder continuation theorem and ideas used earlier by the author [Nonlinear Anal. Theory Methods Appl. 8, 1271-1285 (1984; Zbl 0562.34030)] are used to prove an existence result for solutions of the boundary value problem \[ u''(x)+u(x)+g(x,u(x))=h(x),\quad u(0)=u(\pi)=0, \] where g satisfies Carathéodory's conditions.
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Leray-Schauder continuation theorem
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Carathéodory's conditions
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0.9196694
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0.9155257
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0.9146729
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0.90892667
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0.9079068
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0.90429974
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