Note on a Volterra integro-differential equation system
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.
-  R. R. D. Kemp, Remarks on systems of nonlinear Volterra equations, Proc. Amer. Math. Soc. 14 (1963), 961–962. MR 0157202, https://doi.org/10.1090/S0002-9939-1963-0157202-9
-  J. J. Levin, The asymptotic behavior of the solution of a Volterra equation, Proc. Amer. Math. Soc. 14 (1963), 534–541. MR 0152852, https://doi.org/10.1090/S0002-9939-1963-0152852-8
Keywords: Integro-differential equation, nonlinear Volterra equation, integral equation system, asymptotic behavior
Article copyright: © Copyright 1974 American Mathematical Society