We consider a controllability problem for a system governed by a semilinear differential inclusion in a Banach space in precence of impulse effects and delay. Assuming a regularity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part. We find existence results for mild solutions of this problem under different growth conditions on the nonlinear part and on the jump functions.
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
BENEDETTI, Irene;
2011
Abstract
We consider a controllability problem for a system governed by a semilinear differential inclusion in a Banach space in precence of impulse effects and delay. Assuming a regularity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part. We find existence results for mild solutions of this problem under different growth conditions on the nonlinear part and on the jump functions.File in questo prodotto:
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