ON A REDUCTION OF A LINEAR HOMOGENEOUS DIFFERENTIAL SYSTEM WITH OSCILLATING COEFFICIENTS TO A SYSTEM WITH SLOWLY VARYING COEFFICIENTS IN RESONANCE CASE
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 3
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 subject to the availability of certain resonance relations.
Authors and Affiliations
S. A. Shchogolev
Keywords
Related Articles
- EP ID EP416128
- DOI -
- Views 46
- Downloads 0
Boundary value problems with impulsive “interface conditions” action and lumped delay
Linear nonhomogeneous differential equations with variable concentrated delay and impulsive influence of “interface condition” type with known boundary condition is considered.Conditions of existence and uniqueness of co...
ON THE EXISTENCE OF AN INTEGRAL MANIFOLD OF A SPECIAL TYPE OF A SOME NONLINEAR DIFFERENTIAL SYSTEM
A nonlinear system of the differential equations is considered. This system is a linear extension of the nonlinear differential equation on a circle. The coefficients of the system belong to the class F, which are the fu...
DYNAMICS OF A STOCHASTIC LOTKA–VOLTERRA FOOD CHAIN MODEL
The authors would like to thank Nguyen Hai Dang for his comments on the manuscript of this paper. This paper is concerned with a stochastic Lotka-Volterra food chain model. The existence of the global solution and the ul...
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...
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...