Results 21 to 30 of about 16,357 (168)
On a linear system of differential equations
The linear systems of partial differential equations of the first order with the identical main parts is considered. Аpplying the well-known relation between a normal system of ordinary differential equations and a linear system of partial differential
T. М. Aldibekov, M. M. Aldazharova
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Oscillation and asymptotic behavior of systems of ordinary linear differential equations [PDF]
Conditions are established for oscillatory and asymptotic behavior for first-order matrix systems of ordinary differential equations, including Hamiltonian systems in the selfadjoint case. Asymptotic results of Hille, Shreve, and Hartman are generalized. Disconjugacy criteria of Ahlbrandt, Tomastik, and Reid are extended.
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On bounded solutions of differential systems
The question of the existence of bounded solutions on an infinite interval of a linear inhomogeneous system of ordinary differential equations in a finite-dimensional space is considered. The study of bounded solutions of systems of ordinary differential
T. M. Aldibekov
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In this paper we define a generalized solution of an initial boundary value problem for a linear system of differential equations with one ordinary differential equation and two partial differential equations (a hybrid system of differential equations ...
E. P. Kubyshkin, O. A. Khrebtyugova
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Calculation of special functions arising in the problem of diffraction by a dielectric ball
To apply the incomplete Galerkin method to the problem of the scattering of electromagnetic waves by lenses, it is necessary to study the differential equations for the field amplitudes. These equations belong to the class of linear ordinary differential
Ksaverii Yu. Malyshev
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Saravi, M. +3 more
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Implementing Runge-Kutta Method of Sixth-Order for Numerical Solution of Fuzzy Differential Equations [PDF]
The article talks about the increasing importance of the practical use of fuzzy differential equations in modeling complex problems in various fields, such as science and engineering, as these differential equations allow for obtaining accurate results ...
Marwa Alsafar, Kais Ibraheem
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Many applications and natural phenomena in the fields of physics and engineering are described by ordinary and partial differential equations. Therefore, obtaining solutions to these equations helps to analyze and understand the dynamics of these systems,
Marwan Alquran
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Solving Linear and Non Linear Stiff System of Ordinary Differential Equations by Multistage Adomian Decomposition Method [PDF]
In this paper, linear and non-linear stiff systems of ordinary differential equations are solved by the classical Adomian decomposition method (ADM) and the multistage Adomian decomposition method (MADM). The MADM is a technique adapted from the standard Adomian decomposition method (ADM) where standard ADM is converted into a hybrid numeric-analytic ...
I HASHIM, M S, MD ALAL
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Direct Power Series Approach for Solving Nonlinear Initial Value Problems
In this research, a new approach for solving fractional initial value problems is presented. The main goal of this study focuses on establishing direct formulas to find the coefficients of approximate series solutions of target problems.
Emad Salah +3 more
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