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The existence and properties of solutions of ordinary differntial equations and differential inclusions

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, \(c(\cdot)\in L_ 1\) [
openaire   +2 more sources

Some averaging results for ordinary differential inclusions

Discussiones Mathematicae. Differential Inclusions, Control and Optimization, 2015
Amel Bourada   +3 more
openaire   +1 more source

Adaptive Approximation Techniques for Computing the Reachable Sets of Ordinary Differential Inclusions

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.
openaire   +1 more source

Bifurcation of periodic solutions in differential inclusions

Applications of Mathematics, 1997
Michal Fečkan, Fečkan Michal
exaly  

Stability and Euler Approximation of One-sided Lipschitz Differential Inclusions

SIAM Journal on Control and Optimization, 1998
Elza Farkhi, Tzanko Donchev
exaly  

Existence theorems for

Applied Mathematics Letters, 2006
B C Dhage
exaly  

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