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Proceedings of the American Mathematical Society

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On the existence of solutions of systems of functional differential equations


Author: Joel Franklin
Journal: Proc. Amer. Math. Soc. 5 (1954), 363-369
MSC: Primary 39.0X
MathSciNet review: 0062329
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References [Enhancements On Off] (What's this?)

  • [1] G. Peano, Démonstration de l’intégrabilité des équations différentielles ordinaires, Math. Ann. 37 (1890), no. 2, 182–228 (French). MR 1510645, 10.1007/BF01200235
  • [2] E. Picard, Mémoire sur la théorie des équations aux dérivées partielles et la méthode des approximations successives, J. de Math. (4) vol. 6 (1890) pp. 145-210.
  • [3] E. Lindelöf, Sur l'application des méthodes d'approximations successives à l'étude des intégrates réelles des équations différentielles ordinaires, J. de Math. (4) vol. 10 (1894) pp. 117-128.
  • [4] J. Franklin, On the method of successive approximations, Technical Report No. 7, Applied Mathematics and Statistics Laboratory, Stanford University, 1952.
  • [5] E. Kamke, Differentialgleichungen reeller Funktionen, Chelsea Publishing Company, New York, N.Y., 1947 (German). MR 0020179

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DOI: https://doi.org/10.1090/S0002-9939-1954-0062329-0
Article copyright: © Copyright 1954 American Mathematical Society