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On the countability of the number of solutions of a two-dimensional linear Pfaff system with different characteristic sets

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Abstract

We prove that a two-dimensional, completely integrable, linear Pfaff system has at most countably many solutions with all different characteristic sets.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. A. Izobov

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  1. N. A. Izobov
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 59, No. 2, pp. 172–189, February, 2007.

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Izobov, N.A. On the countability of the number of solutions of a two-dimensional linear Pfaff system with different characteristic sets. Ukr Math J 59, 180–196 (2007). https://doi.org/10.1007/s11253-007-0015-2

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  • DOI: https://doi.org/10.1007/s11253-007-0015-2

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