Results 11 to 20 of about 651 (60)

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.
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Continuity and Fr�chet-differentiability of Nemytskij operators in H�lder spaces

Monatshefte f�r 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 a Neumann Problem with an Intrinsic Operator

Axioms
This paper investigates the existence and location of solutions for a Neumann problem driven by a (p,q) Laplacian operator and with a reaction term that depends not only on the solution and its gradient but also incorporates an intrinsic operator, which ...
Dumitru Motreanu, Angela Sciammetta
doaj   +3 more sources

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 (
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Uniformly bounded Nemytskij operators between the Banach spaces of functions of bounded n-th variation

Journal of Mathematical Analysis and Applications, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Małgorzata Wróbel
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Higher order stable schemes for stochastic convection–reaction–diffusion equations driven by additive Wiener noise

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
wiley   +1 more source

The Sub‐Supersolution Method and Extremal Solutions of Quasilinear Elliptic Equations in Orlicz‐Sobolev Spaces

Journal of Function Spaces, Volume 2018, Issue 1, 2018., 2018
We prove the existence of extremal solutions of the following quasilinear elliptic problem -∑i=1N∂/∂xiai(x,u(x),Du(x))+g(x,u(x),Du(x))=0 under Dirichlet boundary condition in Orlicz‐Sobolev spaces W01LM(Ω) and give the enclosure of solutions. The differential part is driven by a Leray‐Lions operator in Orlicz‐Sobolev spaces, while the nonlinear term g ...
Ge Dong, Xiaochun Fang, Alberto Fiorenza
wiley   +1 more source

Locally Lipschitz Composition Operators in Space of the Functions of Bounded κΦ‐Variation

Journal of Function Spaces, Volume 2014, Issue 1, 2014., 2014
We give a necessary and sufficient condition on a function h:R→R under which the nonlinear composition operator H, associated with the function h, Hu(t) = h(u(t)), acts in the space κΦBV[a, b] and satisfies a local Lipschitz condition.
Odalis Mejía, Nelson José Merentes Díaz, Beata Rzepka, Józef Banaś   +3 more
wiley   +1 more source

Application of Spectral Methods to Boundary Value Problems for Differential Equations

International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011
We try to generalize the concept of a spectrum in the nonlinear case starting from its splitting into several subspectra, not necessarily disjoint, following the classical decomposition of the spectrum. To obtain an extension of spectrum with rich properties, we replace the identity map by a nonlinear operator J acting between two Banach spaces X and Y,
Ene Petronela, G. Mantica
wiley   +1 more source

Existence, comparison, and compactness results for quasilinear variational‐hemivariational inequalities

International Journal of Mathematics and Mathematical Sciences, Volume 2005, Issue 3, Page 401-417, 2005., 2005
We consider quasilinear elliptic variational‐hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of sub‐ and supersolutions, on the basis of which we then develop the sub‐supersolution method for variational‐hemivariational ...
S. Carl, Vy K. Le, D. Motreanu
wiley   +1 more source