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Keywords:
perturbed Cauchy problem; semi-inner product; measure of noncompactness
perturbed Cauchy problem; semi-inner product; measure of noncompactness
Summary:
We consider a perturbed Cauchy problem like the following $$ {\hbox{\rm (PCP)}} \cases x' = A(t,x) +B(t,x) \ x(0)=x_0 \endcases $$ 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]).
References:
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