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 109
- Downloads 0
HIGH-ORDER CLUSTER INTEGRALS FOR THE LATTICE-GAS MODEL
In the paper, for the known statistical lattice-gas model, a new method is proposed to define the high-order reducible cluster integrals on the basis of the Cauchy--Hadamard theorem and recently established strict inform...
Spatial problem for elastic layer
A new approach to spatial problems’ solving has been used to construct the exact solutionfor the elastic layer with its lower surface being in either rigid or slipping restraint conditions and its upper one being subject...
On exponential sums involving the divisor function over Z[𝑖]
We apply the van der Corput transform to investigate the sums of view Σ︀ 𝑟(𝑛)𝑔(𝑛)𝑒(𝑓(𝑛))), where 𝑟(𝑛) is the number of representations of 𝑛 as the sum of two squares of integer numbers. Such sums have been studied by M....
About the quasiareal infinitesimal deformation of catenoid
In this paper we considered the quasiareal infinitesimal deformation of catenoid under which the deviation from the tangent plane is preserved in all directions.
EXPONENTIAL SUMS WITH THE BINOMIAL IN THE EXPONENT OVER THE RING OF GAUSSIAN INTEGERS
In this work nontrivial estimates for the exponential sums with the polynomial ..(..) = ...... + .... in the exponent, where (.., ..) = (.., ..) = (.., ..) = 1, .. > 2, over the ring of the gaussian integers were obtaine...