Results 21 to 30 of about 3,263,731 (289)

On nonlinear delay differential equations [PDF]

open access: yesTransactions of the American Mathematical Society, 1994
We examine qualitative behaviour of delay differential equations of the form \[ y ′
openaire   +1 more source

Piecewise-linear and bilinear approaches to nonlinear differential equations approximation problem of computational structural mechanics

open access: yesMATEC Web of Conferences, 2017
This paper presents a bilinear approach to nonlinear differential equations system approximation problem. Sometimes the nonlinear differential equations right-hand sides linearization is extremely difficult or even impossible.
Leibov Roman
doaj   +1 more source

The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering

open access: yesPartial Differential Equations in Applied Mathematics, 2023
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
doaj   +1 more source

Discrete and Continuous Multiplicative Differential Equations and Applications in Solving Non−Linear Difference and Differential Equations [PDF]

open access: yesSahand Communications in Mathematical Analysis
Boundary and initial value problems,  including nonlinear difference equations and nonlinear differential equations, are the mathematical models of many physics and engineering problems and natural phenomena.
Mohammad Jahanshahi   +2 more
doaj   +1 more source

On the boundedness of solutions of nonlinear differential equations. [PDF]

open access: yesProceedings of the American Mathematical Society, 1957
1. In this note we shall derive some criteria for the boundedness of solutions of nonlinear differential equations by means of a simple lemma given below. We shall also consider when a solution of a differential equation is unbounded. We shall say that the function h(x, r) possesses the property I if h(x, r)^0 for the specified range of values of x and
openaire   +2 more sources

Symbolic Computation of Polynomial Conserved Densities, Generalized Symmetries, and Recursion Operators for Nonlinear Differential-Difference Equations [PDF]

open access: yes, 2004
Algorithms for the symbolic computation of polynomial conserved densities, fluxes, generalized symmetries, and recursion operators for systems of nonlinear differential-difference equations are presented. In the algorithms we use discrete versions of the
Jan A. S   +15 more
core   +1 more source

The existence and convergence of the periodic solution of the system of complementary equations - nonlinear differential of the second class type Volterra [PDF]

open access: yesمجلة التربية والعلم, 2006
In this paper we study the existence and approximation of the periodic solutions for system of nonlinear integro-differential equations of Volterra type by Lebesque integrable function, By using weaker conditions of the function F(t,s,x,x) to be ...
Raad Petrus, Ghada Jameel
doaj   +1 more source

Global extrapolation procedures for linear partial differential equations [PDF]

open access: yes, 1987
Global extrapolation procedures, in space and time are considered for the numerical Solution of linear partial differential equations. Global extrapolation procedures in time only are reviewed.
Twizell, E H
core   +4 more sources

APPLICATION OF BACKLUND DIFFERENTIAL CONSTRAINT FOR CONSTRUCTING EXACT SOLUTIONS OF NONLINEAR HYPERBOLIC EQUATIONS

open access: yesИзвестия высших учебных заведений. Поволжский регион: Физико-математические науки, 2020
Background. Finding exact solutions of nonlinear partial differential equations is one of the main problems of the nonlinear systems theory. A number of methods have been developed for integrable systems, but due to the complexity of various nonlinear
T. V. Red'kina, O. V. Novikova
doaj   +1 more source

Solving of some nonlinear ordinary differential equations in the form of power series

open access: yesФизико-химические аспекты изучения кластеров, наноструктур и наноматериалов, 2022
In the current scientific literature, a variety of nonlinear ordinary differential equations are widely and successfully used to describe real processes in various fields of natural sciences: optics, elasticity theory, molecular physics, etc. For example,
I.N. Belyaeva   +2 more
doaj   +1 more source

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