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ODEOrdinary Differential Equation(s)
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References in periodicals archive ?
In the present paper, for solving the Cauchy problem for a linear singularly perturbed ordinary differential equation, an approach similar to that used previously for singularly perturbed elliptic and parabolic equations in [1,2,6,10,11], is developed to the construction of special difference schemes convergent [epsilon]-uniformly in the maximum norm.
The existence of solutions of ordinary differential equation with integral and periodic boundary conditions has been widely considered in recent years; they constitute very important and interesting problems because they have various applications in thermoelasticity, chemical engineering, population dynamics, and underground water flow and include nonlocal and multipoint boundary conditions (see, for example, Feng et al.
Mahomed and Leach [5] indicated that the nth-order (n > 3) linear ordinary differential equation has exactly one of n + 1, n + 2, or n + 4 point symmetries.
As we show in this paper, the identity for the Gaussian curvature of a surface associated with a first-order ordinary differential equation (ODE) in the first-order jet bundle is described by an inhomogeneous Burgers' equation:
Joshua, "Continuous block method for the solution of second order initial value problems of ordinary differential equation," International Journal of Pure and Applied Mathematics, vol.
In 1979, for the ordinary differential equation (without time delay), Anderson and May [1] have studied the asymptotic stability of the following epidemic differential equation
Subsequently, Nieto and Rodriguez-Lopez [15] extended the result of Ran and Reurings [20] for non-decreasing mappings and applied to obtain a unique solution for a first order ordinary differential equation with periodic boundary conditions.
The proposed method is very cheap for calculation and easily applicable to ordinary differential equation such as linear and non-linear to find the exact and approximate solution.
However, in the complex domain picture drawn in [12] the odd part [[SIGMA].sup.-] corresponds to the second order equation given by Heun's ordinary differential equation [23] while the even part [[SIGMA].sup.+] corresponds to the third-order equation (constructed by Heun's operator).
Consider the ordinary differential equation with variable coefficients:
Consider the first-order ordinary differential equation