Results 1 to 10 of about 41 (38)
Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces
Open Mathematics, 2012 Matkowski Janusz, Wróbel Małgorzata
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Uniformly continuous set-valued composition operators in the space of total φ-bidimensional variation in the sense of Riesz [PDF]
Opuscula Mathematica, 2010 In this paper we prove that if a Nemytskij composition operator, generated by a function of three variables in which the third variable is a function one, maps a suitable large subset of the space of functions of bounded total \(\varphi\)-bidimensional ...
Wadie Aziz +3 more
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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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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 +3 more
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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
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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
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Topological structure of solution sets of differential inclusions: the constrained case
Abstract and Applied Analysis, Volume 2003, Issue 6, Page 325-351, 2003., 2003 We survey and announce some current results on the existence, the viability, and the topological structure of the viable solutions of differential equations and inclusion in Banach spaces under set constraints. Some new results concerning semilinear differential inclusions with state variables constrained to the so‐called regular and strictly regular ...
Wojciech Kryszewski
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Existence of extremal periodic solutions for quasilinear parabolic equations
Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 257-270, 1997., 1997 In this paper we consider a quasilinear parabolic equation in a bounded domain under periodic Dirichlet boundary conditions. Our main goal is to prove the existence of extremal solutions among all solutions lying in a sector formed by appropriately defined upper and lower solutions.
Siegfried Carl
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Finite Element Approximation of Lyapunov Equations Related to Parabolic Stochastic PDEs. [PDF]
Appl Math OptimAndersson A +3 more
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