# 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 ?
Pirbavafa, A generalization of Geraghty's theorem in partially ordered metric spaces and applications to ordinary differential equations, Fixed Point Theory Appl.
1, we have the following correspondence between the eigenvalue problem and existence problem of holomorphic solutions of Heun's ordinary differential equation (see e.
Elzaki, On the Elzaki Transform and Ordinary Differential Equation With Variable Coefficients, Advances in Theoretical and Applied Mathematics, ISSN 0973-4554 Volume 6, Number 1(2011), pp.
The second order linear ordinary differential equation has the general form
In particular if the equation has two independent variables then it can be transformed in an ordinary differential equation, moreover if an ordinary differential equation is also invariant under an one-parameter group, then its order can be reduced in one, in the case of first order ordinary equations, the symmetry group can be used to find a solution in terms of cuadratures by two very well known methods, canonical coordinates and the Lie integrating factor.
Determination of the stability of a non- linear ordinary differential equation by least square approximation.
For ordinary differential equations and functional differential equations, the existence of almost periodic solutions of almost periodic systems has been studied by many authors.
Numerical Methods for Ordinary Differential Equation, Wiley, New York.
derivation of new non-standard finite difference schemes for non autonomous ordinary differential equation
2011) that with the physical parameters the system of partial differential equations could be replaced by a system of ordinary differential equations because both systems gave identical results.
These conditions permit to reduce the nonlinear coupled two-dimensional problem to the two-point boundary value problem for the second-order nonlinear ordinary differential equation, and then, to a nonlinear equation, with respect to sludge concentration.
It is known that, whereas a first order ordinary differential equation represents a 1-dimensional problem, a delay differential equation of the form (1.

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