Aronszajn-Hukuhara type theorem for semilinear differential inclusions with nonlocal conditions

作者：Cardinali Tiziana; Rubbioni Paola^*

来源：Electronic Journal of Qualitative Theory of Differential Equations, 2015, (45).

• nonlocal conditions
• semilinear differential inclusions
• mild solutions
• periodic solutions
• R-delta-sets
• absolute retract

In this note we investigate the topological structure of the mild solution set of nonlocal Cauchy problems governed by semilinear differential inclusions in separable Banach spaces. We show that the mild solution set is a compact absolute retract (and then a continuum and R-delta-set). As a particular case, the topological structure of the periodic mild solution set is deduced. An illustrating example is supplied.

• 出版日期2015