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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 note on nonlinear Volterra operators
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by Indur Mandhyan PDF
Proc. Amer. Math. Soc. 117 (1993), 853-855 Request permission

Abstract:

In this paper we discuss a class of nonlinear Volterra operators and show that they are globally invertible.
References
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  • A. Ambrosetti and G. Prodi, On the inversion of some differentiable mappings with singularities between Banach spaces, Ann. Mat. Pura Appl. (4) 93 (1972), 231–246. MR 320844, DOI 10.1007/BF02412022
  • Melvin S. Berger, Nonlinearity and functional analysis, Pure and Applied Mathematics, Academic Press [Harcourt Brace Jovanovich, Publishers], New York-London, 1977. Lectures on nonlinear problems in mathematical analysis. MR 0488101
  • Harry Hochstadt, Integral equations, Pure and Applied Mathematics, John Wiley & Sons, New York-London-Sydney, 1973. MR 0390680
  • I. B. Mandhyan, The diagonalization of some nonlinear integral operators and their computation, Ph.D. Thesis, Univ. of Massachusetts, Amherst, MA, 1987. A. Zaanen, Linear analysis, Interscience, New York, 1953.
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Additional Information
  • © Copyright 1993 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 117 (1993), 853-855
  • MSC: Primary 47H30
  • DOI: https://doi.org/10.1090/S0002-9939-1993-1123660-5
  • MathSciNet review: 1123660