ON THE SOLUTION SETS OF DIFFERENTIAL INCLUSION IN BANACH SPACES
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Abstract
We prove the set of all classical solutions of the differential inclusion
\[ \dot x(t) \in A(t,x) +F(t,x,\dot x) \quad x(t_0) = x_0, \dot x(t_0) = y_0 \]
is a retract of the space $C^1$.
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References
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