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Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments - MaRDI portal

Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments (Q711703)

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scientific article; zbMATH DE number 5806824
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Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments
scientific article; zbMATH DE number 5806824

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    Multiple solutions of boundary-value problems for fourth-order differential equations with deviating arguments (English)
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    27 October 2010
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    A certain non-local boundary value problem for a fourth-order non-linear differential equation with a deviation is considered. The authors investigate the problem both for advanced and delayed argument, and prove two multiplicity results by using the Avery-Peterson fixed-point theorem. An illustrative example is given as well.
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    fourth-order differential equations
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    existence of positive solutions
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    boundary conditions
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    advanced and delayed arguments
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