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A surprising property of nonlocal operators: the deregularising effect of nonlocal elements in convolution differential equations

Advanced Nonlinear Studies
We consider nonlocal differential equations with convolution coefficients of the form−M(a*|u|q)(1)μ(t)u″(t)=λft,u(t), t∈(0,1), $$-M\left(\left(a {\ast} \vert u{\vert }^{q}\right)\left(1\right)\mu \left(t\right)\right){u}^{{\prime\prime}}\left(t\right ...
Goodrich Christopher S.
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Characterization of Short-Memory Hysteresis Operators

, 2007
We look for a parametric description of a class of hysteresis operators possessing a natural set of properties, including short memory. The results of this type are known as realization or characterization theorems; up to date, mainly onedimensional ...
A. A. Vladimirov
core

Uniformly bounded set-valued Nemytskij operators acting between generalized Hölder function spaces

Open Mathematics, 2012
Matkowski Janusz, Wróbel Małgorzata
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Superposition operator on the space of sequences almost converging to zero

Open Mathematics, 2012
Alekhno Egor
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Uniformly bounded composition operators in the banach space of bounded (p, k)-variation in the sense of Riesz-Popoviciu