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Bounded solutions and L p -solutions of a Volterra integral equation in a Banach space

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We obtain a criterion for solutions of a linear Volterra integral equation in a Banach space to be bounded or summable to the pth power.

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References

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Authors and Affiliations

  1. Shevchenko Kyiv National University, Kyiv, Ukraine

    H. Yu. Yushchenko

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  1. H. Yu. Yushchenko
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Correspondence to H. Yu. Yushchenko.

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Translated from Neliniini Kolyvannya, Vol. 15, No. 3, pp. 427–432, July–September, 2012.

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Yushchenko, H.Y. Bounded solutions and L p -solutions of a Volterra integral equation in a Banach space. J Math Sci 191, 470–478 (2013). https://doi.org/10.1007/s10958-013-1331-8

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  • DOI: https://doi.org/10.1007/s10958-013-1331-8

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