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Decomposable hulls of multifunctions

100%

Nowak A., Rom C.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2002

tom 22

nr 2

233-241

Let F be a multifunction with values in Lₚ(Ω, X). In this note, we study which regularity properties of F are preserved when we consider the decomposable hull of F.

Selection theorem in L¹

100%

Nowak A., Rom C.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2006

tom 26

nr 1

123-127

Let F be a multifunction from a metric space X into L¹, and B a subset of X. We give sufficient conditions for the existence of a measurable selector of F which is continuous at every point of B. Among other assumptions, we require the decomposability of F(x) for x ∈ B.

Existence and relaxation results for nonlinear second order evolution inclusions

88%

Migórski S.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1995

tom 15

nr 2

129-148

In this paper we study nonlinear evolution inclusions associated with second order equations defined on an evolution triple. We prove two existence theorems for the cases where the orientor field is convex valued and nonconvex valued, respectively. We show that when the orientor field is Lipschitzean, then the set of solutions of the nonconvex problem is dense in the set of solutions of the convexified problem.

Ograniczanie wyników

3 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2 Nowak A.

2 Rom C.

1 Migórski S.

1 2006

1 2002

1 1995

Wyniki wyszukiwania

Decomposable hulls of multifunctions

Selection theorem in L¹

Existence and relaxation results for nonlinear second order evolution inclusions