Existence of Solutions for Second-Order Nonlinear Impulsive Differential Equations with Periodic Boundary Value Conditions

  • Chuanzhi Bai1Email author and

    Affiliated with

    • Dandan Yang2

      Affiliated with

      Boundary Value Problems20072007:041589

      DOI: 10.1155/2007/41589

      Received: 12 February 2007

      Accepted: 13 April 2007

      Published: 21 May 2007

      Abstract

      We are concerned with the nonlinear second-order impulsive periodic boundary value problem http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq1_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq2_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq3_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq4_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq5_HTML.gif , http://static-content.springer.com/image/art%3A10.1155%2F2007%2F41589/MediaObjects/13661_2007_Article_645_IEq6_HTML.gif , new criteria are established based on Schaefer's fixed-point theorem.

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      Authors’ Affiliations

      (1)
      Department of Mathematics, Huaiyin Teachers College
      (2)
      Department of Mathematics, Yangzhou University

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      Copyright

      © C. Bai and D. Yang 2007

      This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.