Abstract

This chapter presents the solutions of a nonlinear Volterra equation. A real nonlinear Volterra equation is given by: ▪ where b(t), f(t), g(x) are given real functions. There exists a solution x(t) on 0 ≤ t ≤ ∞. Moreover, under this hypothesis any solution of il) on 0 ≤ t ≤ ∞ satisfies sup |x(t)| < ∞. These results generalize earlier results and partially overlap recent results obtained.

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