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M. Z. Liu, J. F. Gao and Z. W. Yang, “Preservation of Oscillations of the Runge-Kutta Method for Equation x'(t)+ax(t)+a1x([t-1])=0,” Computers & Mathematics with Applications, Vol. 58, 2009, pp. 1113-1125. http://dx.doi.org/10.1016/j.camwa.2009.07.030

has been cited by the following article:

• TITLE: Analytical Approach to Differential Equations with Piecewise Continuous Arguments via Modified Piecewise Variational Iteration Method

  AUTHORS: Qi Wang

  KEYWORDS: Delay Differential Equations; Piecewise Continuous Arguments; Variational Iteration Method; Approximation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.2 No.1, January 9, 2014

  ABSTRACT: In the present article, we apply the modified piecewise variational iteration method to obtain the approximate analytical solutions of the differential equations with piecewise continuous arguments. This technique provides a sequence of functions which converges to the exact solution of the problem. Moreover, this method reduces the volume of calculations because it does not need discretization of the variables, linearization or small perturbations. The results seem to show that the method is very reliable and convenient for solving such equations.