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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, 2020Cai Zuowei
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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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Some remarks on fuzzy differential equations via differential inclusions
Fuzzy Sets and Systems, 2013Yurilev Chalco-Cano +1 more
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Numerical methods forfuzzy differential inclusions
Computers and Mathematics With Applications, 2004OSCAR Lopez Pouso +2 more
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Existence and controllability results for fractional semilinear differential inclusions
Nonlinear Analysis: Real World Applications, 2011Yong Zhou, Jinrong Wang
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