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Topological structure of the solution sets to non-autonomous evolution inclusions driven by measures on the half-line

Ma Yuhua, Gu Haibo, Li Ning

Demonstratio Mathematica

2024

Vol. 57, nr 1

art. no. 20240038

In this article, we investigate a class of measure differential inclusions of evolution type involving non-autonomous operator with nonlocal condition defined on the half-line. By fixed point theorem, we first obtain some sufficient conditions to ensure the solution set is nonempty, compact, and Rδ-set on compact interval. Subsequently, by means of the inverse limit method, we generalize the results on compact interval to noncompact interval. Finally, an example is given to demonstrate the effectiveness of obtained results.