Displaying similar documents to “Extremal selections of multifunctions generating a continuous flow”

On the properties of the solution set of nonconvex evolution inclusions of the subdifferential type

Nikolaos S. Papageorgiou (1993)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

In this paper we consider nonconvex evolution inclusions driven by time dependent convex subdifferentials. First we establish the existence of a continuous selection for the solution multifunction and then we use that selection to show that the solution set is path connected. Two examples are also presented.

Parametrized relaxation for evolution inclusions of the subdifferential type

Nikolaos S. Papageorgiou (1995)

Archivum Mathematicum

Similarity:

In this paper we consider parametric nonlinear evolution inclusions driven by time-dependent subdifferentials. First we prove some continuous dependence results for the solution set (of both the convex and nonconvex problems) and for the set of solution-selector pairs (of the convex problem). Then we derive a continuous version of the “Filippov-Gronwall” inequality and using it, we prove the parametric relaxation theorem. An example of a parabolic distributed parameter system is also...