Results 221 to 230 of about 32,198 (263)

On Copulas and Differential Inclusions

2013
We construct a class of differential inclusions such that their solutions are horizontal sections of copulas. Furthermore we show that the horizontal sections of any copula can be obtained in such a way.
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Differential Inclusions and $$\mathcal A$$ A -quasiconvexity

Mediterranean Journal of Mathematics, 2017
The paper considers problems of the form \[ v(x)\in E,\quad {\mathcal A}v=0, \] where \( {\mathcal A}\) is a first-order linear partial differential operator and the sets \(E\) are of the form \[ E=\{\xi \in {\mathbb R}^n;\quad F_i(\xi )=0,\quad i=1,\dots,N\}, \] where \(F_i:{\mathbb R}^n\to {\mathbb R}\), \(i=1,\dots,N\) are continuous and \({\mathcal
Ana Cristina Barroso, José Matias, Pedro Miguel Santos   +2 more
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On the implicit fuzzy differential inclusions

2012 9th International Conference on Fuzzy Systems and Knowledge Discovery, 2012
In this paper, the implicit fuzzy differential inclusions is introduced and studied. The existence theorem of this implicit inclusion is proved by using barycentric selection theorem and Banach fixed point theorem. The result presented in this paper improves and extends some known results for the fuzzy differential inclusion.
Chao Min, Yihua Zhong, Yan Yang, Zhi-bin Liu   +3 more
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ε-approximation of differential inclusions

Proceedings of 1995 34th IEEE Conference on Decision and Control, 1996
For a Lipschitz differential inclusion x ∈ f(x), we give a method to compute an arbitrarily close approimation of Reachf(X0, t) — the set of states reached after time t starting from an initial set X0. For a differential inclusion x ∈ f(x), and any e>0, we define a finite sample graph A∈. Every trajectory φ of the differential inclusion x ∈f(x) is also
Anuj Puri, Vivek Borkar, Pravin Varaiya
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Differential Inclusions

2023
Piernicola Bettiol, Richard Vinter
  +4 more sources

Attractors of Differential Inclusions and Their Approximation

Ukrainian Mathematical Journal, 2000
Let \((H,\langle \cdot,\cdot \rangle)\) be a separable Hilbert space, \(\varphi :H \mapsto(-\infty,\infty]\) be a proper, convex lower semi-continuous function with the domain \(D(\varphi)\), and \(\partial \varphi:D(\partial \varphi)\subset H \mapsto 2^H\) be the subdifferential of this function.
Kapustyan, O. V., Valero, J.
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Viability for Differential Inclusions on Graphs

Set-Valued Analysis, 2008
Let \(X\) be a Banach space, \(I\) a nonempty bounded interval and let \(K:I \to X\) and \(F:\mathcal{K}\) \(\to X\) be two multifunctions with nonempty values, where \(\mathcal{K}\) is the graph of \(K\). The authors consider the following Cauchy problem \[ u'(t)\in F(t,u(t)), \quad u(\tau)=\xi.
Necula, Mihai, Popescu, Marius, Vrabie, Ioan I.   +2 more
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Evolution Integro-Differential Inclusions

Set-Valued and Variational Analysis
In this paper, authors provided existence and uniqueness results of local/global solution for a new evolution inclusion governed by the subdifferential of a function \(\varphi\) perturbed both by a Carathéodory mapping and by an integral forcing term.
Abderrahim Bouach, Tahar Haddad, Lionel Thibault   +2 more
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Viability criteria for differential inclusions

Journal of Systems Science and Complexity, 2011
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Monotone trajectories of differential inclusions and functional differential inclusions with memory

Israel Journal of Mathematics, 1981
The paper gives a necessary and sufficient condition for the existence of monotone trajectories to differential inclusionsdx/dt ∈S[x(t)] defined on a locally compact subsetX ofRp, the monotonicity being related to a given preorder onX. This result is then extended to functional differential inclusions with memory which are the multivalued case to ...
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