# ordinary differential equation

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## ordinary differential equation

[′ȯrd·ən‚er·ē ‚dif·ə′ren·chəl i′kwā·zhən]
(mathematics)
An equation involving functions of one variable and their derivatives.
References in periodicals archive ?
Chicone, Ordinary differential equations with applications, Springer 1999.
However the solution of ordinary differential equations is much simpler than that for partial differential equations.
Pirbavafa, A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations, Fixed Point Theory Appl.
Applied Differential Equations presents a contemporary treatment of ordinary differential equations, including their applications in engineering and the sciences.
2011) which resulted in a system of ordinary differential equations (ODEs).
The proposed models will use formalisms based on ordinary differential equations, such as fluid and mean-field analysis, and have the particularity of being independent of the size of the system.
The book's 18 chapters begin with topics that might already be familiar to advanced undergraduates such as linear algebra, matrix theory, and differential equations and conclude with discussions of more advanced topics: conformal mapping; Fourier, Hankel and inverse Laplace transforms; and non-linear ordinary differential equations.
Indeed, while the spectrum is well described theoretically by using certain continued fractions (see [19 22]) and also by Fuchsian ordinary differential equations with four regular singular points in a complex domain (see [12]), and in particular there are some results related to the estimate of upper bound of the lowest eigenvalue [4,7,11,14 16], almost no information is available in reality for the low-lying eigenvalues when [alpha] [not equal to]] 0.
Application of a new integral transform of Ordinary Differential Equations.
The following examples illustrate the use of the Aboodh transform in solving certain initial value problems described by ordinary differential equations.
n]), that includes the reduced ordinary differential equations corresponding to the generators [[upsilon].
In the study of nonlinear ordinary differential equations, the linearization method plays an important role.

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