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Existence of Positive Solutions for Nonlinear Second-Order Impulsive Boundary Value Problems on Time Scales

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Abstract

This paper is concerned with the existence of positive solutions of second-order impulsive boundary value problem with integral boundary conditions on time scales. Existence results of at least three positive solutions are established via a new fixed point theorem in a cone. Also, an example is given to illustrate the effectiveness of our result.

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Authors and Affiliations

  1. Department of Mathematics, Gazi University, Teknikokullar, 06500, Ankara, Turkey

    Fatma Tokmak Fen

  2. Department of Mathematics, Ege University, Bornova, 35100, Izmir, Turkey

    Fatma Tokmak Fen & Ilkay Yaslan Karaca

Authors
  1. Fatma Tokmak Fen
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  2. Ilkay Yaslan Karaca
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Correspondence to Fatma Tokmak Fen.

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Fen, F.T., Karaca, I.Y. Existence of Positive Solutions for Nonlinear Second-Order Impulsive Boundary Value Problems on Time Scales. Mediterr. J. Math. 13, 191–204 (2016). https://doi.org/10.1007/s00009-014-0494-y

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  • DOI: https://doi.org/10.1007/s00009-014-0494-y

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