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A Class of Volterra‐Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications

Author

Listed:
  • Yange Huang
  • Wu-Sheng Wang
  • Yong Huang

Abstract

We discuss a class of Volterra‐Fredholm type difference inequalities with weakly singular. The upper bounds of the embedded unknown functions are estimated explicitly by analysis techniques. An application of the obtained inequalities to the estimation of Volterra‐Fredholm type difference equations is given.

Suggested Citation

  • Yange Huang & Wu-Sheng Wang & Yong Huang, 2014. "A Class of Volterra‐Fredholm Type Weakly Singular Difference Inequalities with Power Functions and Their Applications," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnljam:v:2014:y:2014:i:1:n:826173
    DOI: 10.1155/2014/826173
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    References listed on IDEAS

    as
    1. Chunmiao Huang & Wu-Sheng Wang & Xiaoliang Zhou, 2014. "A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    2. Hong Zhou & Deqing Huang & Wu-Sheng Wang & Jian-Xin Xu, 2012. "Some New Difference Inequalities and an Application to Discrete‐Time Control Systems," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    3. Kelong Cheng & Chunxiang Guo, 2014. "New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    4. Yusong Lu & Wu-Sheng Wang & Xiaoliang Zhou & Yong Huang, 2014. "Generalized Nonlinear Volterra-Fredholm Type Integral Inequality with Two Variables," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-14, April.
    5. Yusong Lu & Wu-Sheng Wang & Xiaoliang Zhou & Yong Huang, 2014. "Generalized Nonlinear Volterra‐Fredholm Type Integral Inequality with Two Variables," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    6. Kelong Cheng & Chunxiang Guo, 2014. "New Explicit Bounds on Gamidov Type Integral Inequalities for Functions in Two Variables and Their Applications," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-9, June.
    7. Limian Zhao & Shanhe Wu & Wu-Sheng Wang, 2014. "A Generalized Nonlinear Volterra‐Fredholm Type Integral Inequality and Its Application," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    8. Limian Zhao & Shanhe Wu & Wu-Sheng Wang, 2014. "A Generalized Nonlinear Volterra-Fredholm Type Integral Inequality and Its Application," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-13, May.
    9. Hong Zhou & Deqing Huang & Wu-Sheng Wang & Jian-Xin Xu, 2012. "Some New Difference Inequalities and an Application to Discrete-Time Control Systems," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-14, October.
    10. Chunmiao Huang & Wu-Sheng Wang & Xiaoliang Zhou, 2014. "A Class of Iterative Nonlinear Difference Inequality with Weakly Singularity," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, May.
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