Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems (Q2051921)

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scientific article; zbMATH DE number 7433411
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Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems
scientific article; zbMATH DE number 7433411

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    Rectangles of positive eigenvalues with positive eigenfunctions of nonlinear multiparameter coupled systems (English)
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    25 November 2021
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    This paper is considering a multiparameter nonlinear system of boundary-value problems, which are related to the Abel-Whittaker expansion. The authors follow standard techniques, particularly Krasnoselskii's cone fixed point theorems to study the existence of rectangles of positive eigenvalues and associated positive eigenfunctions of the system. By a rectangle the authors mean a bounded rectangle of \(R^2\) or an infinite strip.
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    Lidstone and Whittaker series
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    higher order Lidstone and Whittaker problems
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    Green's function
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    multiparameter nonlinear system of boundary value problems
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