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We study the asymptotic behavior of the solutions of the nonlinear Volterra integrodifferential equation x'(t) + fa(t-s)g(x(s)) ds =/(/) (t e R +). •'o Here R + = [0, oo), a, g and / are given real functions, and x is the unknown solution. In particular, we give sufficient conditions which imply that x and x' are square integrable.doi:10.2307/2042255 fatcat:wiinogzyvnc23ln5hh3qceeihi