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On a nonclassical integro-differential equation

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Abstract

We study an initial–boundary value problem for a nonclassical equation and obtain sufficient conditions for the time-local and time-global solvability. In the case of time-local (but nonglobal) solvability, we find upper and lower bounds for the solution lifespan.

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Authors and Affiliations

  1. Lomonosov Moscow State University, Moscow, Russia

    A. I. Aristov

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  1. A. I. Aristov
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Correspondence to A. I. Aristov.

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Original Russian Text © A.I. Aristov, 2015, published in Differentsial’nye Uravneniya, 2015, Vol. 51, No. 8, pp. 1019–1026.

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Aristov, A.I. On a nonclassical integro-differential equation. Diff Equat 51, 1014–1021 (2015). https://doi.org/10.1134/S0012266115080054

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  • DOI: https://doi.org/10.1134/S0012266115080054

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