Results 1 to 10 of about 12,990 (99)

An Algorithm for Construction of the Asymptotic Approximation of a Stable Stationary Solution to a Diffusion Equation System with a Discontinuous Source Function

Algorithms, 2023
An algorithm is presented for the construction of an asymptotic approximation of a stable stationary solution to a diffusion equation system in a two-dimensional domain with a smooth boundary and a source function that is discontinuous along some smooth ...
Nikolay Nefedov, Bogdan Tishchenko, Natalia Levashova   +2 more
doaj   +1 more source

Averaging method and two-sided bounded solutions on the axis of systems with impulsive effects at non-fixed times

Қарағанды университетінің хабаршысы. Математика сериясы, 2021
The averaging method, originally offered by Krylov and Bogolyubov for ordinary differential equations, is one of the most widespread and effective methods for the analysis of nonlinear dynamical systems.
O.N. Stanzhytskyi, A. Assanova, M. Mukash   +2 more
doaj   +1 more source

Application of the method of stationary phase to weakly nonlinear hyperbolic systems asymptotic solving

Lietuvos Matematikos Rinkinys, 2004
Method of averaging of first order hyperbolic system with small parameter is presented. The mathe­matic investigate of this method is based on the method of stationary phase.
Aleksandras Krylovas
doaj   +3 more sources

Bertolino-Bakša stability at nonlinear vibrations of motor vehicles [PDF]

Theoretical and Applied Mechanics, 2017
Research of vehicle response to road roughness is particularly important when solving problems related to dynamic vehicle stability. In this paper, unevenness of roads is considered as the source of non-linear vibrations of motor vehicles. The vehicle is
Kudrjavceva Ljudmila, Micunovic Milan, Miloradovic Danijela, Obradovic Aleksandar   +3 more
doaj   +1 more source

The Meyers Estimates for Domains Perforated along the Boundary

Mathematics, 2021
In this paper, we consider an elliptic problem in a domain perforated along the boundary. By setting a homogeneous Dirichlet condition on the boundary of the cavities and a homogeneous Neumann condition on the outer boundary of the domain, we prove ...
Gregory A. Chechkin
doaj   +1 more source

Inverse Problem for a Mixed Type Integro-Differential Equation with Fractional Order Caputo Operators and Spectral Parameters

Axioms, 2020
The questions of the one-value solvability of an inverse boundary value problem for a mixed type integro-differential equation with Caputo operators of different fractional orders and spectral parameters are considered.
Tursun K. Yuldashev, Erkinjon T. Karimov
doaj   +1 more source

Recovery problem for a singularly perturbed differential equation with an initial jump

Қарағанды университетінің хабаршысы. Математика сериясы, 2020
The article investigates the asymptotic behavior of the solution to reconstructing the boundary conditions and the right-hand side for second-order differential equations with a small parameter at the highest derivative, which have an initial jump ...
D.N. Nurgabyl, S.S. Nazhim
doaj   +1 more source

Asymptotic Convergence of the Solution of a Singularly Perturbed Integro-Differential Boundary Value Problem

Mathematics, 2020
In this study, the asymptotic behavior of the solutions to a boundary value problem for a third-order linear integro-differential equation with a small parameter at the two higher derivatives has been examined, under the condition that the roots of the ...
Assiya Zhumanazarova, Young Im Cho
doaj   +1 more source

Asymptotic behavior of the solution of the integral boundary value problem for singularly perturbed integro-differential equations

Вестник КазНУ. Серия математика, механика, информатика, 2021
The work is devoted to clarifying asymptotic with respect to a small parameter behavior of the solution of the integral boundary value problem for singularly perturbed linear integro-differential equation.
N. Aviltay, M. Akhmet
doaj   +1 more source

Application of the method of averaging to boundary value problems for differential equations with non-fixed moments of impulse

Karpatsʹkì Matematičnì Publìkacìï, 2022
The method of averaging is applied to study the existence of solutions of boundary value problems for systems of differential equations with non-fixed moments of impulse action.
O.M. Stanzhytskyi, R.E. Uteshova, M. Mukash, V.V. Mogylova   +3 more
doaj   +1 more source