differential equation

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differential equation

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

American Heritage® Dictionary of the English Language, Fifth Edition. Copyright © 2016 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company. All rights reserved.

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

Collins English Dictionary – Complete and Unabridged, 12th Edition 2014 © HarperCollins Publishers 1991, 1994, 1998, 2000, 2003, 2006, 2007, 2009, 2011, 2014

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 ?

Mahomed and Leach [5] indicated that the nth-order (n > 3) linear ordinary differential equation has exactly one of n + 1, n + 2, or n + 4 point symmetries.

Linearization of Fifth-Order Ordinary Differential Equations by Generalized Sundman Transformations

The Bessel differential equation was first considered in connexion with the oscillations of a heavy chain [1] and vibrations of a circular membrane [2] and has had since [3] a vast number of applications supported by an extensive theory [4].

On the Regular Integral Solutions of a Generalized Bessel Differential Equation

(3) In the paper titled "Positive Solutions for Singular Semipositone Fractional Differential Equation Subject to Multipoint Boundary Conditions," the existence results together with multiplicity result of positive solutions of higher-order fractional multipoint boundary value problems were established by considering the integrations of height functions on some special bounded sets.

Recent Development on Nonlinear Methods in Function Spaces and Applications in Nonlinear Fractional Differential Equations

[7] obtained sufficient conditions for the existence of n-periodic solutions of the below nonlinear differential equation of second order with constant delay

New Qualitative Results for Solutions of Functional Differential Equations of Second Order

Recently, the author in [21] considered the non-linear scalar Volterra integro- differential equation with delay

STABILITY AND BOUNDEDNESS IN VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS WITH DELAY

Although second-order stochastic delay differential equations have started receiving attention of authors, according to our observation from relevant literature, there is no previous literature available on the stability and boundedness of solutions of second-order nonlinear nonautonomous stochastic differential equation.

Stability and Boundedness of Solutions to a Certain Second-Order Nonautonomous Stochastic Differential Equation

If the data f, g, [x.sub.0] are the single-valued and singleton-defined mappings in (15) and (16), then we arrived at the same type of crisp stochastic differential equation. However, in fuzzy case, (15) and (16) are of different type, because fuzzy solutions to fuzzy equations (15) and (16) exhibit different geometric properties.

Bipartite Fuzzy Stochastic Differential Equations with Global Lipschitz Condition

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

The reacting system has been transformed into the system of ordinary differential equation. In this paper, the derived system of ordinary differential equations is unfolding the kinetics of pentaerythritol .Moreover, it has been solved numerically by using non-standard finite difference method and Runge-Kutta method of order 4.In daily life experimental data is not easily derive able.

COMPARISON OF NUMERICAL SOLUTIONS OF KINETICS OF PENTAERYTHRITOL PRODUCTION REACTIONS

In this paper, we will implement the new homotopy perturbation method to obtain the approximate solution for the following time-fractional derivative nonlinear partial 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