Boundary-value problem for differential equation of fractional order
Journal Title: Дослідження в математиці і механіці - Year 2014, Vol 19, Issue 2
Abstract
In this paper we received the sufficient conditions of existence and uniqueness of solution of boundary-value problem for fractional order differential equation.
Authors and Affiliations
A. N. Vityuk, A. V. Mykhailenko
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...
To the theory of Hilbert space’s unconditional basis from values of entire vector-functions
Classes of entire functions of exponential type are considered in the article. They fulfil certain conditions related to theorems about unconditional basises from the values of entire vectorfunctions. In particular, for...
Influence of flexible coating on limit equilibrium of cylindrical shell with cracks along a generatrix
Elastic and limit equilibrium of tensioned shallow cylindrical shell weakened by two through the thickness longitudinal cracks and enhanced by coating on one of the face surfaces is studied in the two-dimensional formula...
Partial averaging of the systems on time scales
The scheme of partial averaging of systems with small parameter on time scales was established. A proximity of solutions of given and partially averaged system of equations was proved under sufficiently general condition...
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...