Differential inclusions (DIs) represent an important extension of differential equations. The other term used for DI is differential equations with a set-valued right-hand side. This tool can be used when the model reveals uncertainty that is given in terms of limits or permissible sets rather than random variables. A model of stock exchange dynamics with uncertain information and a model with ...

This article formulates a new technique for behavior analysis of systems through fuzzy Kolmogorov's differential equations and Particle Swarm Optimization. For handling the uncertainty in data, differential equations have been formulated by Markov modeling of system in fuzzy environment. First solution of these derived fuzzy Kolmogorov's differential equations has been found by Runge-Kutta four...

We prove local and global invertibility of Sobolev solutions of certain differential inclusions which prevent the differential matrix from having negative eigenvalues. Our results are new even for quasiregular mappings in two dimensions.

Our aim in this paper is to present a reduction method that solves first order functional differential inclusion the nonconvex case. This approach based on discretization of time interval, construction approximate solutions by reducing problem without delay and an application known results We generalises earlier results, right hand side has values satisfies linear growth condition instead be in...