A model of stock market dynamics is analyzed using a new approach to uncertainty treatment. The problem of uncertainty is formulated in deterministic way, using the differential inclusions as the main modeling tool. This results in the shape of the reachable set for the model trajectory, namely the possible extreme values of the stock demand and price. The results of example analysis are shown,...

Stability of differential inclusions defined by locally Lipschitz compact valued maps is addressed. It is shown that if such a differential inclusion is globally asymptotically stable, then in fact it is uniformly globally asymptotically stable (with respect to initial states in compacts). This statement is trivial for differential equations, but here we provide the extension to compact (not ne...

This paper is a contribution to the development of a theory concerning stability of equilibrium positions with respect to Sentis solutions of ordinary differential equations with discontinuous right hand side.

In this paper, the existence of solutions and extremal solutions for a perturbed hyperbolic differential inclusion is proved under the mixed generalized Lipschitz and Carathéodory’s conditions.

This article investigates the existence of solutions to second-order boundary value problems (BVPs) for systems of ordinary differential inclusions. The boundary conditions may involve two or more points. Some new inequalities are presented that guarantee a priori bounds on solutions to the differential inclusion under consideration. These a priori bound results are then applied, in conjunction...

The objective of the research was to understand the structural determinants governing protein aggregation into inclusion bodies during expression of recombinant proteins in Escherichia coli. Recombinant human growth hormone (hGH) and asparaginase were expressed as inclusion bodies in E.coli and the kinetics of aggregate formation was analyzed in details. Asparaginase inclusion bodies were of sm...

included. References 1. Almeida A, Roberts I. Bone involvement in sickle cell disease. Br J Haematol 2005;129:482-490. 2. Booth C, Inusa B, Obaro SK. Infection in sickle cell disease: a review. Int J Infect Dis 2010;14:e2-e12. 3. Atkins BL, Price EH, Tillyer L, Novelli V, Evans J. Salmonella osteomyelitis in sickle cell disease children in the East End of London. J Infect 1997;34:133-138. 4. Bu...