an: Zbl 1198.34176
au: Raffoul, Youssef N.
ti: Exponential analysis of solutions of functional differential equations with
    unbounded terms.
la: EN
so: Banach J. Math. Anal. 3, No. 2, 28-41, electronic only (2009).
py: 2009
dt: J
cc: *34K30 34K20 34K12
ut: nonlinear differential systems; boundedness; uniform boundedness; Lyapunov
    functionals; Volterra integro-differential equations
ab: 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.
rv: Zhanyuan Hou (London)