Science Journal of Applied Mathematics and Statistics

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Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations

Received: 04 November 2016    Accepted: 25 November 2016    Published: 14 December 2016
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Abstract

In this paper, we study the existence of coupled solutions of anti-periodic boundary value problems for impulsive differential equations with ϕ-Laplacian operator. Based on a pair of coupled lower and upper solutions and appropriate Nagumo condition, we prove the existence of coupled solutions for anti-periodic impulsive differential equations boundary value problems with ϕ-Laplacian operator.

DOI 10.11648/j.sjams.20160406.18
Published in Science Journal of Applied Mathematics and Statistics (Volume 4, Issue 6, December 2016)
Page(s) 298-302
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Boundary Value Problems, Coupled Solutions, Impulsive Differential Equations, ϕ-Laplacian Operator

References
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Author Information
  • College of Sciences, Hezhou University, Hezhou, China

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    Xiufeng Guo. (2016). Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations. Science Journal of Applied Mathematics and Statistics, 4(6), 298-302. https://doi.org/10.11648/j.sjams.20160406.18

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    Xiufeng Guo. Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations. Sci. J. Appl. Math. Stat. 2016, 4(6), 298-302. doi: 10.11648/j.sjams.20160406.18

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    AMA Style

    Xiufeng Guo. Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations. Sci J Appl Math Stat. 2016;4(6):298-302. doi: 10.11648/j.sjams.20160406.18

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  • @article{10.11648/j.sjams.20160406.18,
      author = {Xiufeng Guo},
      title = {Existence of Coupled Solutions of BVP for ϕ-Laplacian Impulsive Differential Equations},
      journal = {Science Journal of Applied Mathematics and Statistics},
      volume = {4},
      number = {6},
      pages = {298-302},
      doi = {10.11648/j.sjams.20160406.18},
      url = {https://doi.org/10.11648/j.sjams.20160406.18},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.sjams.20160406.18},
      abstract = {In this paper, we study the existence of coupled solutions of anti-periodic boundary value problems for impulsive differential equations with ϕ-Laplacian operator. Based on a pair of coupled lower and upper solutions and appropriate Nagumo condition, we prove the existence of coupled solutions for anti-periodic impulsive differential equations boundary value problems with ϕ-Laplacian operator.},
     year = {2016}
    }
    

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    AB  - In this paper, we study the existence of coupled solutions of anti-periodic boundary value problems for impulsive differential equations with ϕ-Laplacian operator. Based on a pair of coupled lower and upper solutions and appropriate Nagumo condition, we prove the existence of coupled solutions for anti-periodic impulsive differential equations boundary value problems with ϕ-Laplacian operator.
    VL  - 4
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