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ordinary differential equation
(redirected from System of ordinary differential equation)

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ordinary differential equation

Equation containing derivatives of a function of a single variable. Its order is the order of the highest derivative it contains (e.g., a first-order differential equation involves only the first derivative of the function). Because the derivative is a rate of change, such an equation states how a function changes but does not specify the function itself. Given sufficient initial conditions, however, such as a specific function value, the function can be found by various methods, most based on integration.

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.
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For certain classes of dissipative dynamical systems [1] (see examples therein) inertial manifold theory allows for the reduction of the infinite-dimensional dynamics to a finite-dimensional system of ordinary differential equations referred to as inertial form which shares all the long term dynamics of the original problem [2], [3].
A perturbation approach for approximate inertial manifolds by Kim, Dongjin; Udwadia, Firdaus E.; Proskurowski, Wlodek / International Journal of Computational and Applied Mathematics
20]) gives the general solution for the system of ordinary differential equations (ODE) [MATHEMATICAL EXPRESSION NOT REPRODUCIBLE IN ASCII.
Partial differential equations with higher order differential ... by Ayari, M. Iadh / Global Journal of Pure and Applied Mathematics
 
 
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