an:05702383 Zbl 1198.34176 Raffoul, Youssef N. Exponential analysis of solutions of functional differential equations with unbounded terms. EN Banach J. Math. Anal. 3, No. 2, 28-41, electronic only (2009). ISSN 1735-8787/e 2009

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*34K30 34K20 34K12 nonlinear differential systems; boundedness; uniform boundedness; Lyapunov functionals; Volterra integro-differential equations Consider the functional differential equation $x'(t) = G(t, x(s); 0\leq s\leq t)$, where $x\in {\Bbb R}^n$ and $G$ is a continuous functional. In this paper, the boundedness of solutions of the above equation is studied and sufficient conditions are obtained by using the methods of Lyapunov functionals. Volterra integro-differential equations are given to illustrate the theorems. Zhanyuan Hou (London)