We consider a nonconvex and nonclosed higher order differential inclusion and we prove the arcwise connectedness of the solution set.

For a closed target set S ⊂ R and a control system (formulated as a differential inclusion and defined near S), the present paper considers a sufficient condition for the property that every point near S can be steered to S in finite time by some trajectory of the system. Estimates are obtained revealing how fast some such trajectory is nearing the target. A strong form of this condition is sho...

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 ...

we report a rare case of brucellosis presenting with pleural and pericardial effusions in a 35 year-old male rancher in iran with fever and dyspnea. such findings should prompt inclusion of brucellosis in the differential diagnosis in endemic areas.

1. The only cytoplasmic inclusions visible in the living neurone are lipid globules and mitochondria. 2. In both Helix and Limnaea there are three kinds of lipid globules, as follows: (a) large globules, yellowish from their carotinoid content; (6) smaller globules, easily coloured by vital dyes; (c) small globules, not colourable by vital dyes. 3. The crescents and rings ('dictyosomes') seen i...

In this paper we propose a new point of view on weak solutions of the Euler equations, describing the motion of an ideal incompressible fluid in R with n ≥ 2. We give a reformulation of the Euler equations as a differential inclusion, and in this way we obtain transparent proofs of several celebrated results of V. Scheffer and A. Shnirelman concerning the non-uniqueness of weak solutions and th...