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Existenzsätze für schwach nichtlineare Operatorgleichungen und Anwendung auf Randwertaufgaben mit gewöhnlichen Differentialgleichungen

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Abstract

With Schauder's fixpoint principle we establish an existence theorem for solutions of two simultaneous nonlinear operator equations of the formL iu=Miu, i=1,2, Li linear,M i continous. By applying this result to boundary value problems with ordinary differential equations we generalize results of Conti and Ehrmann in various directions.

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Authors and Affiliations

  1. Fachbereich Mathematik der Universität Mainz, Saarstr. 21, 65, Mainz, (Germania)

    Hans Ade

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  1. Hans Ade
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Ade, H. Existenzsätze für schwach nichtlineare Operatorgleichungen und Anwendung auf Randwertaufgaben mit gewöhnlichen Differentialgleichungen. Rend. Circ. Mat. Palermo 28, 191–204 (1979). https://doi.org/10.1007/BF02844094

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  • DOI: https://doi.org/10.1007/BF02844094

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