On the reduction of the countable linear differential system with coefficients of the oscillating type to the some special kind at the resonance case
Journal Title: Дослідження в математиці і механіці - Year 2016, Vol 21, Issue 1
Abstract
Jashitova V. Summary For the countable linear homogeneous differential system, whose coefficients are represented as an absolutely and uniformly convergent Fourier-series with slowly varying coefficients and frequency, the algorithm of the reduction it to the system, whose coefficients are close to the slowly varying at the resonance case, are constructed.
Authors and Affiliations
S. A. Shchogolev, V. Jashitova
Keywords
Related Articles
- EP ID EP190787
- DOI -
- Views 120
- Downloads 0
Nonlinear model of frictional impact of rigid body with rigid rough plane
Dynamics of reduced to the first order chain vibratory impact system with Coulomb friction is investigated. This system is suggested as a model of phenomena that occur under oblique impact of rigid body with perfectly ri...
Influence of plastic zone near the tip of interfacial crack on the contact of its lips
We have developed a complex model of the prefracture zone near the tip of an interface crack that assumes the existence, in its vicinity, of a small-scale contact region of its faces interacting according to the law of d...
One generalization of the classical orthogonal polynomials
The differential equation of the second order, generalizing the differential equations leaded to Jacobi, Laguerre and Hermite polynomials, is considered in the paper. The orthogonality of the polynomials, which are the s...
Analogs of single parametric aggregationiterative method for equations with non constant sign operators
We establish sufficient conditions for the convergence of a class of one-parameter aggregation-iterative methods. Obtained results do not include conditions about positiveness of operators and aggregate functionals, and...
AN ITERATIVE ALGORITHM FOR CALCULATION OF EIGENVALUES AND EIGENFUNCTIONS OF THE STURM--LIOUVILLE PROBLEM
An iterative algorithm for computing the i-th eigenvalue (e. v.) and the corresponding eigenfunction (e. f.) of the Sturm--Liouville problem on a finite interval is proposed. The algorithm uses the well-known asymptotic...