Terminal value problems of impulsive integro-differential equations in Banach spaces.

Guo, Dajun

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Existence of solutions of perturbed O.D.E.'s in Banach spaces

Giovanni Emmanuele (1991)

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We consider a perturbed Cauchy problem like the following $(PCP) \{\begin{matrix} x^{'} = A (t, x) + B (t, x) x (0) = x_{0} \end{matrix}$ and we present two results showing that (PCP) has a solution. In some cases, our theorems are more general than the previous ones obtained by other authors (see [4], [8], [9], [11], [13], [17], [18]).