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Separation of Time Scales in Weakly Interacting Diffusions. [PDF]

open access: yesArch Ration Mech Anal
Adams ZP, Engel M, Gvalani RS.
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Set-valued collectively compact operators and applications to set-valued differential equations

Computing, 1979
Recent theorems on sequences of collectively compact operators which approximate the operator of a given fixed point problem are generalized to set-valued operators. By means of these theorems, not only an easy access to some recent results with respect to the numerical treatment of set-valued initial value problems (p. e.
Rainer Ansorge, Klaus Taubert
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Eigenvalues of Set-Valued Operators in Banach Spaces

Set-Valued Analysis, 2005
The paper under review is a valuable mathematical contribution, especially, but not only, to the spectral theory, generalizing herewith so many areas like linear algebra, but also optimization theory (non-smoothness allowed now), dynamical systems and control theory.
Correa, Rafael, Gajardo, Pedro
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Controllers as fixed points of set-valued operators

Proceedings of Tenth International Symposium on Intelligent Control, 1995
Considers the problem of constructing a "controller" for a hybrid system which will solve the viability problem that all points of plant trajectories stay inside a given "viability set". Here, a "controller" is a network of three successive devices, a digital to analog converter, a digital program (a computer together with its control software), and an
Anil Nerode   +2 more
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Existence Theorems for Set-valued Operators in Banach Spaces

Set-Valued Analysis, 2006
For a nonempty closed convex subset \(C\) of a real Banach space \(E\), let \(N_C(x)\) be the normal cone of \(C\) at \(x\in C\), that is, \(N_C(x)=\{ x^*\in E^*: \langle x-y, x^*\rangle \geq 0\), \(\forall y\in C\}\). The authors study the existence of points \(x\in X\) satisfying \(0\in Tx\), where \(T:X\rightarrow 2^{E^*}\) is a set-valued operator ...
Shin-ya Matsushita, Wataru Takahashi
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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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