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Boundary Value Problems for q‐Difference Inclusions

Author

Listed:
  • Bashir Ahmad
  • Sotiris K. Ntouyas

Abstract

We investigate the existence of solutions for a class of second‐order q‐difference inclusions with nonseparated boundary conditions. By using suitable fixed‐point theorems, we study the cases when the right‐hand side of the inclusions has convex as well as nonconvex values.

Suggested Citation

  • Bashir Ahmad & Sotiris K. Ntouyas, 2011. "Boundary Value Problems for q‐Difference Inclusions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:292860
    DOI: 10.1155/2011/292860
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    References listed on IDEAS

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    1. Michel Benaïm & Josef Hofbauer & Sylvain Sorin, 2006. "Stochastic Approximations and Differential Inclusions, Part II: Applications," Mathematics of Operations Research, INFORMS, vol. 31(4), pages 673-695, November.
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    Cited by:

    1. 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).
    2. 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).

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