Continuous dependence on data for quasiautonomous nonlinear boundary value problems.
Continuous selections of set of mild solutions of evolution inclusions.
Continuous selections of solution sets to Volterra integral inclusions in Banach spaces.
Controllability for impulsive semilinear functional differential inclusions with a non-compact evolution operator
We study a controllability problem for a system governed by a semilinear functional differential inclusion in a Banach space in the presence of impulse effects and delay. Assuming a regularity of the multivalued non-linearity in terms of the Hausdorff measure of noncompactness we do not require the compactness of the evolution operator generated by the linear part of inclusion. We find existence results for mild solutions of this problem under various growth conditions on the nonlinear part and...