Developed analytical approach for a special kind of differential-difference equation: Exact solution
L. F. Seddek,
A. Ebaid,
E. R. El-Zahar
Abstract:This paper investigates a differential-difference equation with a variable coefficient of exponential order in the formφ (t) = αφ(t) + βe σt φ (−t). In literature, periodic solution has been obtained at the special case σ = 0. In this paper, an effective approach is developed to determine the exact solution in terms of exponential and trigonometric functions. In addition, the exact solution is expressed in terms of exponential and hyperbolic functions under specific conditions of the involved parameters. Exact… Show more
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