Partial averaging of the systems on time scales
Journal Title: Дослідження в математиці і механіці - Year 2017, Vol 22, Issue 1
Abstract
The scheme of partial averaging of systems with small parameter on time scales was established. A proximity of solutions of given and partially averaged system of equations was proved under sufficiently general conditions. Obtained results extend an application area for previously developed numerically–asymptotic method of solution for optimal control problems on time scales.
Authors and Affiliations
A. P. Ogulenko
Keywords
Related Articles
- EP ID EP342729
- DOI -
- Views 73
- Downloads 0
ON THE MULTIPLICATIVE PARTITION FUNCTION
We study the number of representations n=s1⋯sm, where sj are sonor numbers, i.e. for every sj there do not exist the natural numbers n and k such that sj=nk, k⩾2. The counting function f(n) of such representation is the...
On an adaptive method of regulator parameters adjustment at discrete time points
We offer an adaptive method of regulator parameters correction at discrete points of time. The method is based on the following idea: we choose the parameters of the parametric regulator at discrete moments of time minim...
The rheology simulation for a inhomogeneous structure of the shear fluid flow into slender clearances
The theory of shear flow structure into slender clearances on the basis of variable viscosity was constructed. The power dependence on local velocity deformation and on distance bounding hard surfaces into priwall layers...
Averaging of fuzzy integral equations with constant delay
Integral equations are encountered in various fields, including elasticity, plasticity, heat and mass transfer, oscillation theory, fluid dynamics, filtration theory, electrostatics, electrodynamics, biomechanics, game t...
Noninvertible analogue for the congugate mapping for the pair of tent-like mappings
The functional equation which appear in the definition of the topological conjugacy of the tent-like piecewise linear mappings of an interval into itself. All the solutions of this functional equations are obtained and t...