Results 51 to 60 of about 452,289 (65)

On Nemytskij operator in the space of absolutely continuous set-valued functions

Journal of Applied Analysis, 2011
Summary: We consider the Nemytskij operator, defined by \((N\phi)(x) := G(x, \phi(x))\), where \(G\) is a given set-valued function. It is shown that if \(N\) maps \(AC(I, C)\), the space of all absolutely continuous functions on the interval \(I := [0, 1]\) with values in a cone \(C\) in a reflexive Banach space, into \(AC(I, \mathcal K)\), the space ...
Jakub Ludew
exaly   +2 more sources

Hyperbolic equations, function spaces with exponential weights and Nemytskij operators

Annali Di Matematica Pura Ed Applicata, 2003
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Gérard Bourdaud, Winfried Sickel
exaly   +3 more sources

Uniformly bounded Nemytskij operators generated by set-valued functions between generalized Hölder function spaces [PDF]

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2011
We prove that the generator of any uniformly bounded set-valued Nemytskij operator acting between generalized Hölder function metric spaces, with nonempty compact and convex values is an affine function with respect to the function ...
Janusz Matkowski, Małgorzata Wróbel
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Chapter 5 Nemytskij operators in spaces of Besov-Triebel-Lizorkin type

1996
exaly   +2 more sources

Quasilinear Elliptic Systems of Second Order in Domains with Corners and Edges: Nemytskij Operator, Local Existence and Asymptotic Behaviour

Zeitschrift für Analysis und ihre Anwendungen, 2002
We consider systems of quasilinear partial differential equations of second order in two- and three-dimensional domains with corners and edges. The analysis is performed in weighted Sobolev spaces with attached asymptotics generated by the asymptotic behaviour of the solutions of the corresponding linearized problems near boundary singularities ...
Ali Mehmeti, F., Bochniak, M., Nicaise, S., Sändig, A.-M.   +3 more
openaire   +1 more source

On NEMYTSKIJ Operators in L_p‐Spaces of Abstract Functions

Mathematische Nachrichten, 1992
AbstractThis paper is concerned with continuity and differentiability of NEMYTSKIJ operators acting between spaces of summable abstract functions. In a first part, necessary and sufficient conditions for continuity are collected. Then main emphasis is given to sufficient conditions for differentiability in the sense of FRÉCHET and GÂTEAUX.
Goldberg, H., Kampowsky, W., Tröltzsch, F.   +2 more
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On Nemytskii operator for set-valued functions

Publicationes Mathematicae Debrecen, 1999
The author presents generalizations (in some sense) of her previous results that appeared in [Publ. Math. 54, No. 1-2, 33-37 (1999; Zbl 0921.47056)]. In fact, here she treats the problem of characterizing those vector-valued, or set-valued functions that generate such a Nemytskij operator which maps a \(\text{lip}^2\) space (space of functions with ...
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Sobolev Spaces of Fractional Order, Nemytskij Operators, and Nonlinear Partial Differential Equations

1996
Thomas Runst, Winfried Sickel
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On the Continuity of the Nemytskij Operator between the Spaces ??1(?) and ??2(?)

Georgian Mathematical Journal, 2006
Marek Galewski
exaly  

Local operators and a characterization of the Volterra operator

Annals of Functional Analysis, 2010
Janusz Matkowski
exaly