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Nonincreasing Solutions of a Functional Integral Equation with Carathéodory Perturbed

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Abstract

A technique associated with measures of weak noncompactness and measures of noncompactness in strong sense is used to prove an existence result for a functional integral equation with Carathéodory perturbed. Our investigations take place in the space \({L^1(\mathbb{R}_+)}\), \({\mathbb{R}_+:=[0,\infty)}\). An example is also discussed to indicate the natural realizations of our abstract result.

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Authors and Affiliations

  1. Department of Mathematics, Sciences Faculty for Girls, King Abdulaziz University, Jidda, Saudi Arabia

    Mohamed Abdalla Darwish

  2. Department of Mathematics, Faculty of Science, Damanhour University, Damanhoûr, Egypt

    Kishin Sadarangani

  3. Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017, Las Palmas de Gran Canaria, Spain

    Kishin Sadarangani

Authors
  1. Mohamed Abdalla Darwish
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  2. Kishin Sadarangani
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Correspondence to Kishin Sadarangani.

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Darwish, M.A., Sadarangani, K. Nonincreasing Solutions of a Functional Integral Equation with Carathéodory Perturbed. Mediterr. J. Math. 12, 63–76 (2015). https://doi.org/10.1007/s00009-014-0392-3

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  • DOI: https://doi.org/10.1007/s00009-014-0392-3

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