Partial averaging of the systems on time scales

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

On a one class of the solutions of the nonlinear first-order differential equation with oscillating coefficients

For the nonlinear first-order differential equation, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, the condidtions of existenc...

ON ASYMPTOTIC BEHAVIOR OF A ONE DIFFERENTIAL EQUATIONS CLASS' SOLUTIONS

For the second-order differential equation of general form y′′=f(t,y,y′), where f:[a,\omega[\times \Delta_ Y_0 \times\Delta_ Y_1 \longrightarrow \bf R is continuous function, $-\infty

On a two-step algorithm in structural and parametric optimization problems of linear control systems.

This paper deals with applying of a two-step optimization algorithm for structural and parametric optimization problems of linear control systems with fixed and floating switching points.

Nonlinear observer for system of the Van der Pol oscillators

The problem of velocities determination for interconnected Van der Pole oscillators by known data is considered as observation problem. Such systems arise on modelling of many cyclical biological or physical processes. A...

Asymptotic behaviour of solutions of second-order differential equations with rapid varying nonlinearities

In the present paper the question of existence and asymptotic, as 𝑡 Ò 𝜔 (𝜔 ¤ 􀀀8), behaviour of 𝑃𝜔p𝑌0,𝜆0q-solutions of a binomial non-autonomous 2-nd order differential equation with rapidly varying nonlinearities, as 𝑦 Ñ...

Download PDF file
  • EP ID EP342729
  • DOI -
  • Views 65
  • Downloads 0

How To Cite

A. P. Ogulenko (2017). Partial averaging of the systems on time scales. Дослідження в математиці і механіці, 22(1), 32-45. https://europub.co.uk/articles/-A-342729