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Note on a Volterra integro-differential equation system

Author: Dennis G. Weis
Journal: Proc. Amer. Math. Soc. 45 (1974), 214-216
MathSciNet review: 0361695
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Abstract | References | Additional Information

Abstract: This note concerns a type of nonlinear Volterra integro-differential equation system which has only asymptotically zero solutions. It is a simple generalization of a one-dimensional result of J. J. Levin. It is a correction to another such note and gives a counterexample to that note.

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

  • [1] R. R. D. Kemp, Remarks on systems of nonlinear Volterra equations, Proc. Amer. Math. Soc. 14 (1963), 961-962. MR 28 #438. MR 0157202 (28:438)
  • [2] J. J. Levin, The asymptotic behavior of the solution of a Volterra equation, Proc. Amer. Soc. 14 (1963), 534-541. MR 27 #2824. MR 0152852 (27:2824)

Additional Information

Keywords: Integro-differential equation, nonlinear Volterra equation, integral equation system, asymptotic behavior
Article copyright: © Copyright 1974 American Mathematical Society

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