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Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space

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  • Hristo Kiskinov
  • Andrey Zahariev

Abstract

We consider nonlinear impulsive differential equations with ψ -exponential and ψ -ordinary dichotomous linear part in a Banach space. By the help of Banach’s fixed-point principle sufficient conditions are found for the existence of ψ -bounded solutions of these equations on and .

Suggested Citation

  • Hristo Kiskinov & Andrey Zahariev, 2015. "Nonlinear Impulsive Differential Equations with Weighted Exponential or Ordinary Dichotomous Linear Part in a Banach Space," International Journal of Differential Equations, Hindawi, vol. 2015, pages 1-7, September.
    • Handle: RePEc:hin:jnijde:748607
    DOI: 10.1155/2015/748607
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    Cited by:

    1. Gani Stamov & Ivanka Stamova, 2019. "Impulsive Delayed Lasota–Wazewska Fractional Models: Global Stability of Integral Manifolds," Mathematics, MDPI, vol. 7(11), pages 1-15, October.

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