TY - JOUR AU - Andreini, Alessandra AU - Kamenskiĭ, Mikhail I. AU - Nistri, Paolo PY - 2000/03/01 Y2 - 2024/03/28 TI - A result on the singular perturbation theory for differential inclusions in Banach spaces JF - Topological Methods in Nonlinear Analysis JA - TMNA VL - 15 IS - 1 SE - DO - UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2000.001 SP - 1 - 15 AB - We provide conditions which ensure that the solutionset of the Cauchy problem for a singularly perturbed system of differentialinclusions in infinite dimensional Banach spaces is upper semicontinuous withrespect 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. ER -