The paper considers a class of nonlinear differential equations which are not solvable in quadratures in general case. The author’s technology for solving such equations contains six problems.
Victor Orlov, Magomedyusuf Gasanov
doaj +2 more sources
Effect of Correlated Non-Gaussian Quadratures on the Performance of Binary Modulations [PDF]
The received signal in many wireless communication systems comprises of the sum of waves with random amplitudes and random phases. In general, the composite signal consists of correlated nonidentical Gaussian quadrature components due to the central ...
Valentine A. Aalo, George P. Efthymoglou
doaj +2 more sources
Mathematical problems of reliability assurance the building constructions [PDF]
The paper deals with a mathematical model of console type based on the nonlinear differential equation having a mobile feature of the General solution (or a mobile singular point). The presence of mobile singular points indicates affiliation of this type
Orlov Victor, Kovalchuk Oleg
doaj +2 more sources
On Generalized Gaussian Quadratures for Exponentials and Their Applications
We introduce new families of Gaussian-type quadratures for weighted integrals of exponential functions and consider their applications to integration and interpolation of bandlimited functions.We use a generalization of a representation theorem due to ...
Gregory Beylkin
exaly +2 more sources
On approximate solution of non-elliptic singular integral equation systems in Lebesgue spaces [PDF]
We investigate in this paper problems of theoretical foundation of collocations and mechanical quadratures methods for approximate solution of singular integral equation systems in the case, when their symbols have on the integration contour a finite set
T. Cibotaru
doaj +1 more source
Using a special psi-function the paper presents an exact and approximate (with an error evaluation) solutions of the mixed problem pertaining to one-dimensional heat conduction equation. An advantage of the obtained approximate formula is its comparative
P. G. Lasy, I. N. Meleshko
doaj +1 more source
On the iterative method for solution of direct and inverse problems for parabolic equations [PDF]
The paper is devoted to approximate methods for solution of direct and inverse problems for parabolic equations. An approximate method for the solution of the initial problem for multidimensional nonlinear parabolic equation is proposed.
Boykov, Il'ya V. +1 more
doaj +1 more source
Exact boundaries for the analytical approximate solution of a class of first-order nonlinear differential equations in the real domain [PDF]
The paper gives a solution to one of the problems of the analytical approximate method for one class first order nonlinear differential equations with moving singular points in the real domain.
Viktor N. Orlov, Oleg A. Kovalchuk
doaj +1 more source
Research on the dynamics of multi-storey buildings [PDF]
The design of multi-storey buildings is a natural trend in the development of a modern metropolis. Obtaining exact solutions when studying their own and forced oscillations within the framework of a continuous homogeneous medium model (continuum ...
Peter G. Velikanov, Yury P. Artyukhin
doaj +1 more source
Quantitative analysis of the ecological and economic balance and the structure of land use in the basin of the Tumannaya River [PDF]
The design of multi-storey buildings is a natural trend in the development of a modern metropolis. Obtaining exact solutions when studying their own and forced oscillations within the framework of a continuous homogeneous medium model (continuum ...
Marina N. Maslova
doaj +1 more source

