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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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 general uniqueness theorem
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by Robert D. Moyer PDF
Proc. Amer. Math. Soc. 17 (1966), 602-607 Request permission
References
  • Maurice Heins, Some remarks on unicity and continuity theorems for ordinary differential equations, Michigan Math. J. 10 (1963), 85–89. MR 152690
  • W. F. Osgood, Beweis der Existenz einer Lösung der Differentialgleichung $\frac {{dy}}{{dx}} = f\left ( {x,y} \right )$ ohne Hinzunahme der Cauchy-Lipschitz’schen Bedingung, Monatsh. Math. Phys. 9 (1898), no. 1, 331–345 (German). MR 1546565, DOI 10.1007/BF01707876
  • P. Montel, Sur l’intĂ©grale supĂ©rieure et l’intĂ©grale infĂ©rieure d’une Ă©quation diffĂ©rentielle, Bull. Sci. Math. (2) 50 (1926), 205-217. A. Rosenblatt, Ăśber die Existenz von Integralen gewöhnlicher Differentialgleichungen, Arch. Math. Astronom. Fys. 5 (1909), no. 2. M. Nagumo, Eine hinreichende Bedingung fĂĽr die Unität der Lösung von Differentialgleichungen erster Ordnung, Japan J. Math. 3 (1926), 107-112.
  • J. LaSalle, Uniqueness theorems and successive approximations, Ann. of Math. (2) 50 (1949), 722–730. MR 31165, DOI 10.2307/1969559
  • M. A. Krasnosel′skiÄ­ and S. G. KreÄ­n, On a class of uniqueness theorems for the equation $y’=f(x,y)$, Uspehi Mat. Nauk (N.S.) 11 (1956), no. 1(67), 209–213 (Russian). MR 0079152
  • Wolfgang Walter, Eindeutigkeitssätze fĂĽr gewöhnliche, parabolische und hyperbolische Differentialgleichungen, Math. Z 74 (1960), 191–208 (German). MR 0117427, DOI 10.1007/BF01180483
  • Earl A. Coddington and Norman Levinson, Theory of ordinary differential equations, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1955. MR 0069338
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Additional Information
  • © Copyright 1966 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 17 (1966), 602-607
  • MSC: Primary 34.04
  • DOI: https://doi.org/10.1090/S0002-9939-1966-0192096-X
  • MathSciNet review: 0192096