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Multivalued maps: general properties * Measures of noncompactness and condensing multimaps * Topological degree theory for condensing multifields * Semigroups and measures of noncompactness *… (More)

Measures of Noncompactness.- The Linear Theory.- The Fixed-Point Index of Condensing Operators.- Applications.

We consider a system of two semilinear differential inclusions with infinitesimal generators of C0-semigroups. The nonlinear terms are of high frequency with respect to time and periodic with a… (More)

We consider a class of multimaps which are the composition of a superposition
multioperator ${\mathcal P}_F$ generated by a nonconvex-valued almost
lower semicontinuous nonlinearity $F$ and an… (More)

We consider a singularly perturbed system of two semilinear parabolic equations with nonlinear high frequency inputs which contain the output of a Krasnosel'skii-Pokrovskii hysteresis operator. For… (More)

In this chapter we consider the basic notions connected with measures of noncompactness (MNCs for brevity) and condensing (or densifying) operators. We define and study in detail the three main and… (More)

We state existence theorems for almost periodic solutions of evolution problems,
namely, quasi-autonomous problems and more generally, time dependent
evolution equations. We apply these theorems… (More)

This paper is devoted to a survey of the current state of the theory of measures of noncompactness and condensing operators.