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Evolution differential equations with non-Lipschitz nonlinearities

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Abstract

We suggest a generalization of the Peano theorem (on the existence of a solution of the Cauchy problem for a differential system) to the case of an infinite-dimensional phase space.

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References

  1. Nirenberg, L., Topics in Nonlinear Functional Analysis, New York: Courant Institute of Mathematical Society, 1974. Translated under the title Lektsii po nelineinomu funktsional’nomu analizu, Moscow: Mir, 1977.

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Authors and Affiliations

  1. Moscow State University, Moscow, Russia

    O. E. Zubelevich

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  1. O. E. Zubelevich
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Correspondence to O. E. Zubelevich.

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Original Russian Text © O.E. Zubelevich, 2014, published in Differentsial’nye Uravneniya, 2014, Vol. 50, No. 9, pp. 1287–1288.

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Zubelevich, O.E. Evolution differential equations with non-Lipschitz nonlinearities. Diff Equat 50, 1275–1276 (2014). https://doi.org/10.1134/S001226611409016X

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  • DOI: https://doi.org/10.1134/S001226611409016X

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