A guidance problem for a differential inclusion with parameter

A differential inclusion with parameter on a finite time interval is studied. Questions related to determining the solvability set in the problem of guiding a differential inclusion to a compact target set in the phase space are discussed.     

Study of acidity of the modified alumosilicate sorbents prepared by the method of destructive epitaxial precipitation

Acid properties of the surface of copper-, cobalt- and iron-containing alumosilicate sorbents prepared by the method of destructive epitaxial precipitation we investigated. Concentration and strength of the proton acid centers of the samples is studied in comparison with the parent natural alumosilicate sorbent based on the opokas of the Prikaspii lowland of Astrakhan’ region.

     

Nonlinear set-valued boundary value problems with continuous feedback

We obtain sufficient conditions for the existence of at least one absolutely continuous solution of a nonlinear functional-differential inclusion in a finite-dimensional space with nonlinear set-valued functional boundary conditions. The set-valuedness of the dynamics may be due to the presence of a control. In addition, we consider the case in which the set-valuedness of the system dynamics and the boundary conditions is specified by inequalities. We assume the presence of a continuous feedback and impose the requirements of solvability of the open-loop problem. Statements of problems of this type arise in connection with the analysis of conflict-control systems.