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Proceedings of the American Mathematical Society

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A note on the asymptotic behavior of an integral equation

Author: Carol Shilepsky
Journal: Proc. Amer. Math. Soc. 33 (1972), 111-113
MSC: Primary 45M05
MathSciNet review: 0306851
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Abstract: Assume the existence and boundedness of a solution to an integral equation. Conditions are found which ensure the solution has a limit at infinity.

References [Enhancements On Off] (What's this?)

  • [1] J. J. Levin and D. F. Shea, Asymptotic behaviour of bounded solutions of some functional equations, Contributions to nonlinear functional analysis (Proc. Sympos., Math. Res. Center, Univ. Wisconsin, Madison, Wis., 1971) Academic Press, New York, 1971, pp. 501–522. MR 0388011
  • [2] -, On the asymptotic behavior of the bounded solutions of some integral equations, J. Math. Anal. Appl. (to appear).

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Keywords: Integral equation, stability theory, Volterra equation, asymptotic behavior, bounded solution
Article copyright: © Copyright 1972 American Mathematical Society