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Nonlinear impulsive Volterra integral equations in Banach spaces and applications

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  • Dajun Guo

Abstract

In this paper, we first extend results on the existence of maximal solutions for nonlinear Volterra integral equations in Banach spaces to impulsive Volterra integral equations. Then, we give some applications to initial value problems for first order impulsive differential equations in Banach spaces. The results are demonstrated by means of an example of an infinite system for impulsive differential equations.

Suggested Citation

  • Dajun Guo, 1993. "Nonlinear impulsive Volterra integral equations in Banach spaces and applications," International Journal of Stochastic Analysis, Hindawi, vol. 6, pages 1-14, January.
    • Handle: RePEc:hin:jnijsa:683901
    DOI: 10.1155/S1048953393000048
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    Cited by:

    1. Jinxian Sun & Xing-Bin Pan & Yihong Du & Zhaoli Liu & Zhitao Zhang, 2020. "Professor Dajun Guo: a true mathematician and educator," Partial Differential Equations and Applications, Springer, vol. 1(5), pages 1-10, October.

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