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Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk‐Difference Equations

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Listed:
  • Lihong Zhang
  • Bashir Ahmad
  • Guotao Wang

Abstract

We show the existence and uniqueness of solutions for an antiperiodic boundary value problem of nonlinear impulsive qk‐difference equations by applying some well‐known fixed point theorems. An example is presented to illustrate the main results.

Suggested Citation

  • Lihong Zhang & Bashir Ahmad & Guotao Wang, 2014. "Impulsive Antiperiodic Boundary Value Problems for Nonlinear qk‐Difference Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:165129
    DOI: 10.1155/2014/165129
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    References listed on IDEAS

    as
    1. Bashir Ahmad & Sotiris K. Ntouyas, 2011. "Boundary Value Problems for q‐Difference Inclusions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    2. Thomas Ernst, 2012. "A Comprehensive Treatment of q-Calculus," Springer Books, Springer, edition 127, number 978-3-0348-0431-8, March.
    3. Ali Aral & Vijay Gupta & Ravi P Agarwal, 2013. "Applications of q-Calculus in Operator Theory," Springer Books, Springer, edition 127, number 978-1-4614-6946-9, March.
    4. Nittaya Pongarm & Suphawat Asawasamrit & Jessada Tariboon, 2013. "Sequential Derivatives of Nonlinear q‐Difference Equations with Three‐Point q‐Integral Boundary Conditions," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    Full references (including those not matched with items on IDEAS)

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