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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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Filippov lemma for measure differential inclusion
Mathematische Nachrichten, 2021Jacek Sadowski
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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Reach Control Problem for Linear Differential Inclusion Systems on Simplices
IEEE Transactions on Automatic Control, 2016Yuhu Wu, Tielong Shen
exaly

