differential equation


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differential equation

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

differential equation

n
(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


n.
an equation involving differentials or derivatives.
[1755–65]
ThesaurusAntonymsRelated WordsSynonymsLegend:
Noun1.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.
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].
In this paper, we are interested in obtaining sufficient conditions for all solutions of the third order nonlinear functional differential equation with multiple retardations
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.
In this section, we'll show the main theoretical results which rules numerical methods of solving differential equations and differential equation systems.
Lu: Positive solutions for boundary value problem of nonlinear fractional differential equation, J.
For analyzing the basic characteristics of a linear system governed by the differential equation in response to initial data.
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].
Consider the fuzzy differential equation with maxima
Let us consider the following integrofractional differential equation
The experimental dependences of the technological process have the differential equation.
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.

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