differential equation

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differential equation

An equation that expresses a relationship between functions and their derivatives.

differential equation

(Mathematics) an equation containing differentials or derivatives of a function of one independent variable. A partial differential equation results from a function of more than one variable

differen′tial equa′tion

an equation involving differentials or derivatives.

[1755–65]

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Noun

differential equation - an equation containing differentials of a function

equation - a mathematical statement that two expressions are equal

Maxwell's equations - four differential equations that summarize classical properties of electromagnetic fields

partial differential equation - a differential equation involving a functions of more than one variable

Schrodinger equation, Schrodinger wave equation - the fundamental equation of wave mechanics

wave equation - a differential equation that describes the passage of harmonic waves through a medium

References in periodicals archive ?

The concept of nonlinear partial differential equation is not new rather it is centuries old.

REDUCED DIFFERENTIAL TRANSFORM METHOD FOR COUPLED PROBLEM OF THE SYMMETRIC REGULARIZED LONG WAVE EQUATIONS

Next, the Caputo-Hadamard fractional derivative which is a Caputo-type modification of the Hadamard fractional derivative is suggested in [18], some fundamental theorems of this fractional derivative were proved in [19], and Cauchy problems of a differential equation with a left Caputo-Hadamard fractional derivative were studied in spaces of continuously differentiable functions in [20].

On the General Solution of Impulsive Systems with Hadamard Fractional Derivatives

In this paper, we are interested in obtaining sufficient conditions for all solutions of the third order nonlinear functional differential equation with multiple retardations

Global stability and boundedness of solutions to differential equations of third order with multiple delays

Aminikhah and Hemmatnezhad [21] and Aminikhah and Biazar [22] proposed a new homotopy perturbation method to obtain the exact and numerical solutions of ordinary differential equation.

A novel effective approach for solving fractional nonlinear PDEs

In this section, we'll show the main theoretical results which rules numerical methods of solving differential equations and differential equation systems.

Possibilities of dynamic systems simulation

Lu: Positive solutions for boundary value problem of nonlinear fractional differential equation, J.

Existence results for nonlinear fractional differential equations on ordered gauge spaces

For analyzing the basic characteristics of a linear system governed by the differential equation in response to initial data.

The new integral transform "Aboodh transform"

This fact conduced to a remarkable simplification on the understanding of the problem of how to identify transformations under which a differential equation remained invariant or equivalently according to Lie's theory, to find transformations (Symmetries) or new coordinates that allowed an easier approximation to the solution of this kind of equations [2].

Algunas soluciones exactas para una ecuacion de Klein Gordon

Consider the fuzzy differential equation with maxima

Partial averaging of fuzzy differential equations with maxima

Let us consider the following integrofractional differential equation

Existence results for delay evolution fractional fuzzy integro differential equations

The experimental dependences of the technological process have the differential equation.

Image of the roughness surface by the integrals curves

It is a known and documented fact that a given linear or non linear differential equation does not have a complete solution that can be expressed in terms of a finite number of elementary functions.

On the theory and applications of new nonstandard finite difference methods for the solution of initial value problems in ordinary differential equations