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A Multiple Iterated Integral Inequality and Applications

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  • Zongyi Hou
  • Wu-Sheng Wang

Abstract

We establish new multiple iterated Volterra-Fredholm type integral inequalities, where the composite function of the unknown function with nonlinear function in integral functions in [Ma, QH, PeÄ arić, J: Estimates on solutions of some new nonlinear retarded Volterra-Fredholm type integral inequalities. Nonlinear Anal. 69 (2008) 393–407] is changed into the composite functions of the unknown function with different nonlinear functions , respectively. By adopting novel analysis techniques, the upper bounds of the embedded unknown functions are estimated explicitly. The derived results can be applied in the study of solutions of ordinary differential equations and integral equations.

Suggested Citation

  • Zongyi Hou & Wu-Sheng Wang, 2014. "A Multiple Iterated Integral Inequality and Applications," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-9, July.
    • Handle: RePEc:hin:jnljam:327943
    DOI: 10.1155/2014/327943
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