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Existence, uniqueness and analyticity for periodic solutions of a non-linear convolution equation

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Abstract

We study existence, uniqueness and analyticity for periodic solutions ofu(x)=Φ(∫ IR J(y)u(x−y)dy) forx∈IR.

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Authors and Affiliations

  1. C.M.I., Université de Provence, 39 Rue Joliot-Curie, F-13453, Marseille cedex 13, France

    Amine Asselah

  2. Department of Mathematics, Hill Center, Rutgers University, 110 Frelinghuysen Road, 08854-8019, Piscataway, New Jersey, U.S.A.

    Roger D. Nussbaum

Authors
  1. Amine Asselah
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  2. Roger D. Nussbaum
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Asselah, A., Nussbaum, R.D. Existence, uniqueness and analyticity for periodic solutions of a non-linear convolution equation. Integr equ oper theory 42, 385–424 (2002). https://doi.org/10.1007/BF01270920

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  • DOI: https://doi.org/10.1007/BF01270920

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