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Computing, 1979
This note contains iterative procedures which bound the solution of initial value problems with the aid of interval analytical methods and possibilities for speeding up convergence.
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This note contains iterative procedures which bound the solution of initial value problems with the aid of interval analytical methods and possibilities for speeding up convergence.
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IMA Journal of Numerical Analysis, 1985
An initial value problem is analyzed for an ordinary differential inclusion for the case that the differential expression is contained in the image of a maximal monotone operator [\textit{H. Brézis}, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1973; Zbl 0252.47055)].
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An initial value problem is analyzed for an ordinary differential inclusion for the case that the differential expression is contained in the image of a maximal monotone operator [\textit{H. Brézis}, Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert (1973; Zbl 0252.47055)].
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Discussiones Mathematicae Differential Inclusions, Control and Optimization
Summary: In this article, we shall deal with the existence theory for a self-adjoint coupled system of three nonlinear second-order ordinary differential inclusions with cyclic anti-periodic boundary conditions on an arbitrary domain. We consider convex valued as well as non-convex valued right-hand side of the given system and apply the standard fixed-
Ahmad, Bashir +3 more
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Summary: In this article, we shall deal with the existence theory for a self-adjoint coupled system of three nonlinear second-order ordinary differential inclusions with cyclic anti-periodic boundary conditions on an arbitrary domain. We consider convex valued as well as non-convex valued right-hand side of the given system and apply the standard fixed-
Ahmad, Bashir +3 more
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Some averaging results for ordinary differential inclusions
Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2015Amel Bourada +3 more
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1986
Let F be a convex-valued multifunction \(U\to Comp R^ n\), \(U\subset R\times R^ n\), measurable on \(t\in R\) and upper semicontinuous on \(y\in R^ n\). Well-known existence conditions for the differential inclusion y'\(\in F(t,y)\) contain additionally an inclusion F(t,y)\(\subset c(t)\cdot B\), B being a zero-centred unit ball, \(c(\cdot)\in L_ 1\) [
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Let F be a convex-valued multifunction \(U\to Comp R^ n\), \(U\subset R\times R^ n\), measurable on \(t\in R\) and upper semicontinuous on \(y\in R^ n\). Well-known existence conditions for the differential inclusion y'\(\in F(t,y)\) contain additionally an inclusion F(t,y)\(\subset c(t)\cdot B\), B being a zero-centred unit ball, \(c(\cdot)\in L_ 1\) [
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The reachable set of a control system is the set of all states attainable at a given time. These sets have many applications, but are very challenging to obtain. In my thesis, I investigated ways to decrease the cost of numerically approximating these sets and introduced an adaptive technique which decreases cost by many orders of magnitude.
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Cosmological constraints on dark matter interactions with ordinary matter
Physics Reports, 2022Manuel A Buen-Abad +2 more
exaly