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 69
- Downloads 0
The ordinary differential equations systems solubility in respect to the derivatives
Questions are investigated about bringing the system of ordinary differential equations not solved with respect to derivatives to the systems, solved with respect to derivatives, or partially solved with respect to deriv...
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...
On the reduction of the countable linear differential system with coefficients of the oscillating type to the some special kind at the resonance case
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,...
About constant in Szego inequality for derivatives of conjugate trigonometric polynomials in L0.
We consider Szego inequality ˜ T(r) n 0 χ0 (n, r) ・ Tn 0 for derivatives of conjugate trigonometric polynomials in L0. We’ve found exact asymptotic by n estimation of constant χ0 (n, r) in it, improving estimates which...
CIRCULAR GENERATOR OF PRN’S
Let 𝐸𝑚 be a subgroup of multiplicative group of reduced residues modulo 𝑝𝑚, 𝑝 ≡ 3 (mod 4) in the ring of Gaussian integers with norm one (mod 𝑝𝑚). Using the description of elements from 𝐸𝑚 we construct the sequence of re...