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Sequential Derivatives of Nonlinear q‐Difference Equations with Three‐Point q‐Integral Boundary Conditions

Author

Listed:
  • Nittaya Pongarm
  • Suphawat Asawasamrit
  • Jessada Tariboon

Abstract

This paper studies sufficient conditions for the existence of solutions to the problem of sequential derivatives of nonlinear q‐difference equations with three‐point q‐integral boundary conditions. Our results are concerned with several quantum numbers of derivatives and integrals. By using Banach′s contraction mapping, Krasnoselskii′s fixed‐point theorem, and Leray‐Schauder degree theory, some new existence results are obtained. Two examples illustrate our results.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnljam:v:2013:y:2013:i:1:n:605169
    DOI: 10.1155/2013/605169
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    References listed on IDEAS

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    1. Bashir Ahmad & Sotiris K. Ntouyas, 2011. "Boundary Value Problems for q‐Difference Inclusions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
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    Cited by:

    1. Thanin Sitthiwirattham & Jessada Tariboon & Sotiris K. Ntouyas, 2013. "Three‐Point Boundary Value Problems of Nonlinear Second‐Order q‐Difference Equations Involving Different Numbers of q," Journal of Applied Mathematics, John Wiley & Sons, vol. 2013(1).
    2. 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).

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    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).

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