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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 Kneser theorem for Volterra integral equations
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by Walter G. Kelley PDF
Proc. Amer. Math. Soc. 40 (1973), 183-190 Request permission

Abstract:

A connectedness result is obtained for the space of solutions of any one of a class of Volterra integral equations.
References
  • Klaus Deimling, Eigenschaften der Lösungsmenge eines Systems von Volterra-Integralgleichungen, Manuscripta Math. 4 (1971), 201–212 (German, with English summary). MR 285870, DOI 10.1007/BF01190276
  • Philip Hartman, Ordinary differential equations, John Wiley & Sons, Inc., New York-London-Sydney, 1964. MR 0171038
  • Kyuzo Hayashi, On the solutions of the system of ordinary differential equations, Mem. Coll. Sci. Univ. Kyoto Ser. A. Math. 28 (1953), 19–25. MR 60086, DOI 10.1215/kjm/1250777507
  • Masuo Hukuhara, Sur une généralisation d’un théorème de Kneser, Proc. Japan Acad. 29 (1953), 154–155 (French). MR 60084
  • Masuo Hukuhara, Sur l’application qui fait correspondre à un point un continu bicompact, Proc. Japan Acad. 31 (1955), 5–7 (French). MR 70163
  • E. Kamke, Zur Theorie der Systeme gewöhnlicher Differentialgleichungen. II, Acta Math. 58 (1932), no. 1, 57–85 (German). MR 1555344, DOI 10.1007/BF02547774
  • H. Kneser, Über die Lösungen eines systems gewöhnlicher Differentialgleichungen das der Lipschitzschen Bedingung nicht genügt, S.-B. Preuss. Akad. Wiss. Phys.-Math. Kl. (1923), 171-174.
  • Richard K. Miller and George R. Sell, Existence, uniqueness and continuity of solutions of integral equations, Ann. Mat. Pura Appl. (4) 80 (1968), 135–152. MR 247395, DOI 10.1007/BF02413625
  • Richard K. Miller, Nonlinear Volterra integral equations, Mathematics Lecture Note Series, W. A. Benjamin, Inc., Menlo Park, Calif., 1971. MR 0511193
  • T. Satō, Sur l’equation intégrale non linéaire de Volterra, Compositio Math. 11 (1953), 271-290. MR 15, 714.
  • Tokui Sat\B{o}, Sur l’application qui fait correspondre à une courbe une famille de courbes, Proc. Japan Acad. 31 (1955), 1–4 (French). MR 70034
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Additional Information
  • © Copyright 1973 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 40 (1973), 183-190
  • MSC: Primary 45D05
  • DOI: https://doi.org/10.1090/S0002-9939-1973-0316983-8
  • MathSciNet review: 0316983