Results 1 to 10 of about 452,289 (65)
Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Open Mathematics, 2012 Abstract We show that the generator of any uniformly bounded set-valued Nemytskij composition operator acting between generalized Hölder function metric spaces, with nonempty, bounded, closed, and convex values, is an affine function.
Matkowski Janusz, Wróbel Małgorzata
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ON NEMYTSKIJ OPERATOR OF SUBSTITUTION IN THE C1 SPACE OF SET-VALUED FUNCTIONS
Demonstratio Mathematica, 2008 AbstractWe consider the Nemytskij operator, i.e., the operator of substitution, defined by (
Jakub Jan Ludew
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Uniformly bounded Nemytskij operators acting between the Banach spaces of generalized Hölder functions [PDF]
Journal of Applied Mathematics and Computational Mechanics, 2017 We investigate the Nemytskij (composition, superposition) operators acting between Banach spaces of r -times differentiable functions defined on the closed intervals of the real line with the r-derivatives satisfying a generalized Hölder condition.
Małgorzata Wröbel
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Quantitative functional calculus in Sobolev spaces
Journal of Function Spaces and Applications, 2004 In the frame work of Sobolev (Bessel potential) spaces Hn(Rd,R or C), we consider the nonlinear Nemytskij operator sending a function x∈Rd↦f(x) into a composite function x∈Rd↦G(f(x),x).
Carlo Morosi, Livio Pizzocchero
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ON THE SEQUENTIAL STRONG-WEAK CLOSEDNESS OF THE NEMYTSKIJ MULTIVALUED OPERATOR
Demonstratio Mathematica, 2002 The author gives sufficient conditions for the sequential strong-weak closedness of the Nemytskij operator generated by a measurable multivalued map \(f: \Omega\times E\to 2^F\), with \(\Omega\) being a measure space and \(E\), \(F\) being separable Banach spaces.
Hong Thai Nguyen
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On uniformly continuous Nemytskij operators generated by set-valued functions [PDF]
Aequationes Mathematicae, 2010 The properties of superposition operators generated by set-valued functions are studied. The main result is the following. Theorem. Let \(I = [0, 1]\) and \(Y\) be a real normed linear space, \(Z\) be a Banach space and let \(C\) be a convex cone in \(Y\). Assume that \(\gamma: [0, \infty) \rightarrow [0, \infty)\) is continuous at \(0\), \(\gamma(0) =
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Journal of Mathematical Analysis and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Małgorzata Wröbel
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Continuity and Fr�chet-differentiability of Nemytskij operators in H�lder spaces
Monatshefte Fur Mathematik, 1992 The paper is a continuation of \textit{M. Goebel} [Glasg. Math. J. 33, No. 1, 1-5 (1991; Zbl 0724.47041)] and deals with Nemytskij operators (superposition operators), \((Fy)(t)=f(t,y(t))\), which are generated by a function \(f: [a,b]\times\mathbb{R}^ n\to\mathbb{R}\).
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On Fréchet-differentiability of Nemytskij operators acting in Hölder spaces [PDF]
Glasgow Mathematical Journal, 1991 In any field of nonlinear analysis Nemytskij operators, the superposition operators generated by appropriate functions, play a crucial part. Their analytic properties depend on the postulated properties of the defining function and on the function space in which they are considered. A rich source for related questions is the monograph by J.
Mehmeti Feli Ali, Serge Nicaise
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Mathematical Methods in the Applied Sciences, Volume 44, Issue 17, Page 12860-12880, 30 November 2021., 2021 In this paper, we investigate the numerical approximation of stochastic convection–reaction–diffusion equations using two explicit exponential integrators. The stochastic partial differential equation (SPDE) is driven by additive Wiener process. The approximation in space is done via a combination of the standard finite element method and the Galerkin ...
Antoine Tambue, Jean Daniel Mukam
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