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Relations Between Boundary Value Functions for a Nonlinear Differential Equation and its Variational Equations<sup>*</sup>
We consider here the nonlinear differential equation (1.1) where x ∊l= [a, ∞). We will make the following assumptions (A) f is continuous on [a, ∞) × R n , (B) solutions of initial value problems (I.V.P.'s) are unique and extend throughout [a, ∞). (C)