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Conditions for the existence of the total differential of an arbitrary continuous function

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Literature cited

  1. Yu. Yu. Trokhimchuk, Continuous Mappings and Monogeneity Conditions [in Russian], Moscow (1963).

  2. Yu. Yu. Trokhimchuk, “On continuous mappings of regions in a Euclidean space,” Ukr. Mat. Zh.,16, No. 2, 196–211 (1964).

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  3. Yu. Yu. Trokhimchuk and A. V. Bondar', “On the local degree of a zero-dimensional mapping,” in: Metric Problems in the Theory of Functions and Mappings [in Russian], No. 1, Naukova Dumka, Kiev (1969).

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  4. W. Stepanov, “Sur les conditions de l'existence de la differentiell totale,” Mat. Sb.,32, 323–370 (1925).

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Authors
  1. F. M. Diab
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 31, No. 6, pp. 744–746, November–December, 1979.

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Diab, F.M. Conditions for the existence of the total differential of an arbitrary continuous function. Ukr Math J 31, 577–578 (1979). https://doi.org/10.1007/BF01092542

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  • DOI: https://doi.org/10.1007/BF01092542

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