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Multiple positive solutions for nonlinear first-order periodic impulsive boundary-value systems with sign changing nonlinearities

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Abstract

In this paper, we establish the existence of positive solutions to a periodic boundary problem associated with a first-order system under impulses effect and when the nonlinearities change sign. Our approach is based on the Krasnoselskii theorem in double cones. We generalize some recent results.

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Authors and Affiliations

  1. Department of Mathematics, University of Tlemcen, 13000, Tlemcen, Algeria

    Naima Daoudi-Merzagui & Meryem Hellal

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  1. Naima Daoudi-Merzagui
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  2. Meryem Hellal
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Correspondence to Naima Daoudi-Merzagui.

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Daoudi-Merzagui, N., Hellal, M. Multiple positive solutions for nonlinear first-order periodic impulsive boundary-value systems with sign changing nonlinearities. Lith Math J 56, 32–48 (2016). https://doi.org/10.1007/s10986-016-9302-7

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  • DOI: https://doi.org/10.1007/s10986-016-9302-7

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