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A second-order nonlinear problem with two-point and integral boundary conditions

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Georgian Mathematical Journal

Abstract

The paper gives sufficient conditions for the existence and nonuniqueness of monotone solutions of a nonlinear ordinary differential equation of the second order subject to two nonlinear boundary conditions one of which is two-point and the other is integral. The proof is based on an existence result for a problem with functional boundary conditions obtained by the author in [6].

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References

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Authors and Affiliations

  1. Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, ul. Kovalevskoi 16, 620066, Ekaterinburg, Russia

    S. A. Brykalov

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  1. S. A. Brykalov
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Brykalov, S.A. A second-order nonlinear problem with two-point and integral boundary conditions. Georgian Mathematical Journal 1, 243–249 (1994). https://doi.org/10.1007/BF02254673

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  • DOI: https://doi.org/10.1007/BF02254673

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