Results 221 to 230 of about 164,821 (252)

Measure differential inclusions

IEEE Conference on Decision and Control, 2018
When modeling dynamical systems with uncertainty, one usually resorts to stochastic calculus and, specifically, Brownian motion. Recently, we proposed an alternative approach based on time-evolution of measures, called Measure Differential Equations ...
B. Piccoli
semanticscholar   +1 more source

On first and second-order perturbed differential inclusions governed by maximal monotone operators

Topological Methods in Nonlinear Analysis
In this paper we establish, in a separable Hilbert space, a result asserting the existence of absolutely continuous solutions for a system made up of a first-order differential inclusion governed by time and state-dependent maximal monotone operators ...
M. Benguessoum, D. Azzam-Laouir
semanticscholar   +1 more source

Existence results for the system of partial differential inclusions with uncertainty

Journal of Intelligent & Fuzzy Systems, 2018
It is well known while dealing with uncertainty, fuzzy sets are assumed to be more efficient than ordinary. In this article, the existence results for a certain types of the system of fuzzy differential inclusions with integral types of local conditions ...
M. Rashid, N. Mehmood, S. Shaheen
semanticscholar   +1 more source

Connection of the solution of a stochastic differential inclusion with the solution of an ordinary differential equation

Journal of Soviet Mathematics, 1993
Consider the stochastic differential inclusion \[ (1)\quad du(t)+A(t,u(t))dt+C(u(t))dt+B(t,u(t))dw(t)\ni 0,\quad u(0)=u_ 0, \] where A,B: [0,T]\(\times R\to R\), and C is a maximal monotone set-valued map from R into R. Under some regularity conditions, the author associates with this inclusion the family of ordinary differential equations \[ (2)\quad ...
openaire   +3 more sources

On the iterative inclusion of solutions in initial-value problems for ordinary differential equations

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.
openaire   +1 more source

On the Convergence of a One-step Method for the Numerical Solution of an Ordinary Differential Inclusion

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)].
openaire   +2 more sources

Existence of solutions of a system of two ordinary differential equations with a modular–cubic type nonlinearity

Theoretical and mathematical physics, 2023
B. Tishchenko
semanticscholar   +1 more source

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

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

Anomalous Hall antiferromagnets

Nature Reviews Materials, 2022
Allan H Macdonald, Jairo Sinova, Satoru Nakatsuji   +2 more
exaly