# differential equation

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## differential equation

[‚dif·ə′ren·chəl i′kwā·zhən]
(mathematics)
An equation expressing a relationship between functions and their derivatives.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
Chern, "The geometry of the differential equation y"'= F(x,y,y',y")," in Rep.
Generalized Bessel Differential Equation in the Complex Plane
(17) In the paper titled "A Compact Difference Scheme for Solving Fractional Neutral Parabolic Differential Equation with Proportional Delay," a linearized compact finite difference scheme was constructed for solving the fractional neutral parabolic differential equation with proportional delay.
Zu  studied periodic solutions for the following nonlinear second-order ordinary differential equation:
In view of the mentioned information, it follows that the Volterra integro- differential equations discussed by Burton  and Furumochi and Matsuoka  are without delay.
Then, the stochastic differential equation (11) admits zero solution X(t, 0) [equivalent to] 0.
Then the bipartite fuzzy stochastic differential equation (18) has a unique local solution.
Since, partial differential equations in the coupled problem under consideration had complicated mixed partial derivatives (Handibag and Karande, 2012).
Improvement in technology makes it much easier to solve a huge system of differential equations numeric ally.
During the last few years, the numerical methods and exact solution methods have been proposed to solve fractional differential equations, for example, the Adomian decomposition method , the homotopy perturbation method [11, 12], the variational iteration method [13, 14], the differential transform method [15,16], the G'/G method [17, 18], the first integral method , and the exp-function method .
With other words, nature unity appears in an amazing similarity of differential equations from different kinds of phenomena.
Zhang: The existence of a positive solution for a nonlinear fractional differential equation, J.

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