A result on the singular perturbation theory for differential inclusions in Banach spaces

Alessandra Andreini, Mikhail I. Kamenskiń≠, Paolo Nistri

DOI: http://dx.doi.org/10.12775/TMNA.2000.001


We provide conditions which ensure that the solution
set of the Cauchy problem for a singularly perturbed system of differential
inclusions in infinite dimensional Banach spaces is upper semicontinuous with
respect to the parameter $\varepsilon\ge0$ of the perturbation. The main
tools are represented by suitable introduced measures of noncompactness and
the topological degree theory in locally convex spaces.


Singularly perturbed systems; differential inclusions; condensing operators; locally convex spaces

Full Text:



  • There are currently no refbacks.

Partnerzy platformy czasopism