ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY-VARYING COEFFICIENTS
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 1
Abstract
For the linear homogeneous differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly-varying coefficients and frequency, conditions of existence of the linear transformation with coefficients of similar structure, this system leads to a system with slowly-varying coefficients in a noresonance case in asymptotical large interval of independent variable, are obtained.
Authors and Affiliations
S. A. Shchogolev
Keywords
Related Articles
- EP ID EP415971
- DOI -
- Views 42
- Downloads 0
ABOUT CONVERGENCE OF THE GENERALIZED HARMONIC SERIES WHEN THE SIGNS OF ITS SUMMANDS ARE CHANGED
In this paper we study the question about convergence of the generalized harmonic series when the signs of its summands are changed. For this we consider the sequence of numbers where the sign is switched. The main resul...
The analysis of p-term algorithms for unconstrained optimization
Consider the multidimensional unconstrained minimization problem in a case of continuously differentiable function. An iterative algorithm for solving such a problem is called a multi-term if in order to find the next ap...
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...
Averaging of differential equations of movement for the ship on the direct course
The possibility of applying the full averaging scheme to the ship complex control problem is considered in the article. The model of this problem was first described by V. I. Nebesnov and V. A. Plotnikov and F. Y. Kuzyu...
SYSTEMS OF LINEAR CONTROLLED DIFFERENTIAL EQUATIONS WITH VARIABLE DIMENSION
The article investigates the linear control system of variable dimension. The optimal control problem for several objects with a consistent in time mode of their operation is considered. The initial state of each object...