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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A note on complete integrals
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by Wojciech Chojnacki PDF
Proc. Amer. Math. Soc. 123 (1995), 393-401 Request permission

Abstract:

We present a theorem concerning the representation of solutions of a first-order partial differential equation in terms of a complete integral of the equation. We discuss the geometrical significance of that theorem.
References
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  • Alberto Dou, Lectures on partial differential equations of first order, University of Notre Dame Press, Notre Dame, Ind.-London, 1972. MR 0599577
  • V. V. Lyčagin, Local classification of first order nonlinear partial differential equations, Uspehi Mat. Nauk 30 (1975), no. 1(181), 101–171 (Russian). MR 0420679
  • Ian N. Sneddon, Elements of partial differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1957. MR 0082600
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Additional Information
  • © Copyright 1995 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 123 (1995), 393-401
  • MSC: Primary 35F05; Secondary 58A20
  • DOI: https://doi.org/10.1090/S0002-9939-1995-1234624-7
  • MathSciNet review: 1234624