On the 80th anniversary of Victor Plotnikov
Journal Title: Дослідження в математиці і механіці - Year 2018, Vol 23, Issue 1
Abstract
К 80-ЛЕТИЮ СО ДНЯ РОЖДЕНИЯ ВИКТОРА АЛЕКСАНДРОВИЧА ПЛОТНИКОВА 5 января 1938 г. — 4 сентября 2006 г.
К 80-ЛЕТИЮ СО ДНЯ РОЖДЕНИЯ ВИКТОРА АЛЕКСАНДРОВИЧА ПЛОТНИКОВА 5 января 1938 г. — 4 сентября 2006 г.
A Bernstein type inequality for fractional logarithmic derivatives of polynomials in 𝐿0
The study of integral equations with power-laws-logarithmically kernels, as well as problems related to the Fourier series of integrable functions led to fractional-logarithmic derivatives and integrals. In this paper fr...
About embedding anisotropic classes in metric spaces with integral metric
Let L0 (Tm) be a set of periodic measurable real-valued functions of m variables, ψ : R1+ → R1+ be the continuity modulus and Lψ(Tm) = {f ∈ L0(Tm) : _f_ψ := _ Tm ψ (|f(x)|) dx < ∞}. The sufficient conditions for embeddin...
The block diagonalization of the linear homogeneous differential system with coefficients of oscillating type in resonance case
For the linear homogeneous system of the differential equations, coefficients of which are represented by an absolutely and uniformly convergent Fourier series with slowly varying coefficients and frequency, conditions o...
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...
The total boundary value problems for hiperbolic equation with piecewise continuous coefficients and right parts
In this paper, the general boundary value problems for hyperbolic equation with piecewise continuous on spatial variable coefficients and right parts was considered. The solutions such problems were found by using a conc...