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Impulsive semilinear neutral functional differential inclusions with multivalued jumps

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Abstract

In this paper we establish sufficient conditions for the existence of mild solutions and extremal mild solutions for some densely defined impulsive semilinear neutral functional differential inclusions in separable Banach spaces. We rely on a fixed point theorem for the sum of completely continuous and contraction operators.

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Authors and Affiliations

  1. École Normale Supérieure, Département Sciences Exactes, Plateau Mansourah, Constantine, Algérie

    Nadjet Abada

  2. Laboratoire Modelisation Mathématiques et Simulations, Université Mentouri, Constantine, Algérie

    Nadjet Abada

  3. Department of Mathematical Sciences, Florida Institute of Technology, Melbourne, Florida, 32901-6975, USA

    Ravi P. Agarwal

  4. Laboratoire de Mathématiques, Université de Sidi Bel Abbès, BP 89, Sidi Bel Abbès, 22000, Algérie

    Mouffak Benchohra

  5. Département de Mathématiques, Université Kasdi Merbah de Ouargla, Route de Ghardaia, Ouargla, 30000, Algérie

    Hadda Hammouche

Authors
  1. Nadjet Abada
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  2. Ravi P. Agarwal
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  3. Mouffak Benchohra
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  4. Hadda Hammouche
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Correspondence to Nadjet Abada.

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Abada, N., Agarwal, R.P., Benchohra, M. et al. Impulsive semilinear neutral functional differential inclusions with multivalued jumps. Appl Math 56, 227–250 (2011). https://doi.org/10.1007/s10492-011-0004-5

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