Existence result for the Lidstone boundary value problem at resonance (Q439258)

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scientific article; zbMATH DE number 6062816
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Existence result for the Lidstone boundary value problem at resonance
scientific article; zbMATH DE number 6062816

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    Existence result for the Lidstone boundary value problem at resonance (English)
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    1 August 2012
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    Existence results are established for nonlinear Lidstone boundary value problems. In Section 3, the nonresonant case is discussed and with a growth condition existence is established via Schauder's fixed-point theorem. In Section 4, the resonant case is discussed and existence is established if a Landesman-Lazer type condition is assumed.
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    resonance
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    Lidstone boundary value problem
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    eigenvalue
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    Landesman-Lazer condition
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