Results 271 to 280 of about 36,261 (305)
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Attractors of Differential Inclusions and Their Approximation
Ukrainian Mathematical Journal, 2000Let \((H,\langle \cdot,\cdot \rangle)\) 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, 2008Let \(X\) 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 +2 more
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Evolution Integro-Differential Inclusions
Set-Valued and Variational AnalysisIn 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 +2 more
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Viability criteria for differential inclusions
Journal of Systems Science and Complexity, 2011zbMATH 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, 1981The 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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Discrete approximations of differential inclusions.
Summary: This paper is devoted to discretization methods for initial value problems for differential inclusions. The main emphasis is on set-valued analogues of Runge-Kutta methods. The material is presented as a survey, simultaneously containing a series of new results. Complete proofs are contained in our extended version [Bayreuther Math. Schr.Lempio, Frank, Veliov, Vladimir
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Generalized Lyapunov approach for functional differential inclusions
Automatica, 2020Zuowei Cai
exaly
On differential inclusions with an advanced argument
1992A differential inclusion with an advanced argument, \[ x'(t)\in F(t,x(t),x(\nu(t))),\tag{1} \] is considered in a separable, reflexive Banach space \(X\). It is assumed that \(\nu(t)\geq t\). The set-valued map \(F\) has non- empty compact convex values and it is \({\mathcal L}\times {\mathcal B}(X\times X)\)-measurable and upper semicontinuous on \(X ...
Kaczor, Wiesława (1949- ) +1 more
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