Approximation of solutions of the nonlinear Duffing equation involving both integral and non-integral forcing terms with separated boundary conditions

On Accuracy and Stability Analysis of the Reproducing Kernel Space Method for the Forced Duffing Equation

“…Duffing equation springs from modeling some different branches of sciences and engineerings such as chemical engineering, thermoelasticity, periodic orbit extraction, nonlinear mechanical oscillators, and prediction of diseases [11][12][13]. To solve this equation, some variants of it have been investigated in recent years.…”

A pseudospectral method for nonlinear Duffing equation involving both integral and non‐integral forcing terms

“…R are continuous functions and 2 R f0g, p 0 , q 0 , p 1 , q 1 , a, b 2 R are such that p 0 , q 0 , p 1 , q 1 > 0. The existence and uniqueness of the solution of Equation (1) is discussed in [9]. Also, in [10], a generalized quasilinearization technique was developed to obtain an analytic approximation of the solutions of the forced Duffing type integro-differential equation with nonlinear three-point boundary conditions.…”

Antiperiodic Solutions for a Kind of Nonlinear Duffing Equations with a Deviating Argument and Time-Varying Delay

“…In recent years, Duffing equations have attracted much attention due to its wide range of applications in many practical problems such as in physics, mechanics, and the engineering fields. Many results on various Duffing equations are available (see [1][2][3][4][5][6][7][8][9][10][11][12]). However, to the best of our knowledge, there are few results on the antiperiodic solutions of Duffing equations.…”