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Nontrivial Solutions for an Impulsive Differential Equation with Non-separated Boundary Conditions

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Abstract

In this paper we shall discuss the existence of non-trivial solutions for an impulsive differential equation subject to non-separated boundary conditions. Our criteria for the existence theorems will be expressed in terms of the first eigenvalue of the corresponding non-impulsive problem. The main tool here is topological degree theory.

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Authors and Affiliations

  1. Department of mathematics, Qilu Normal University, Jinan, 250013, Shandong, China

    Keyu Zhang

  2. School of Mathematics, Shandong University, Jinan, 250100, Shandong, China

    Jiafa Xu

Authors
  1. Keyu Zhang
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  2. Jiafa Xu
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Correspondence to Keyu Zhang.

Additional information

Supported by the NNSF-China (11371117), Shandong Provincial Natural Science Foundation (ZR2013AM009), the Project of Shandong Province Higher Educational Science and Technology Program (J09LA55).

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Zhang, K., Xu, J. Nontrivial Solutions for an Impulsive Differential Equation with Non-separated Boundary Conditions. Mediterr. J. Math. 12, 717–727 (2015). https://doi.org/10.1007/s00009-014-0433-y

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  • DOI: https://doi.org/10.1007/s00009-014-0433-y

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