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Journal of Inequalities and Applications
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Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space

Journal of Inequalities and Applications volume 2005, Article number: 357614 (2005) Cite this article

Abstract

The well-known Krasnoselskii twin fixed point theorem is used to investigate the existence of mild solutions for first- and second-order impulsive semilinear functional and neutral functional differential equations in Hilbert spaces.

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Authors and Affiliations

  1. Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, Sidi Bel Abbès, 22000, Algeria

    M Benchohra & A Ouahab

  2. Department of Mathematics, Baylor University, Waco, TX, 76798-7328, USA

    J Henderson

  3. Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece

    SK Ntouyas

Authors
  1. M Benchohra
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  2. J Henderson
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  3. SK Ntouyas
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  4. A Ouahab
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Corresponding author

Correspondence to M Benchohra.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Benchohra, M., Henderson, J., Ntouyas, S. et al. Multiple solutions for impulsive semilinear functional and neutral functional differential equations in Hilbert space. J Inequal Appl 2005, 357614 (2005). https://doi.org/10.1155/JIA.2005.189

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  • DOI: https://doi.org/10.1155/JIA.2005.189