Abstract
A nonlinear equation describing the motion of a nonlinear oscillator has been reduced by proper substitution to an integro-differential equation and then solved by means of an iterative technique for an arbitrary forcing function. The effect of the nonlinear terms on the convergence has been studied. It has been shown that such a solution converges sectionally in an interval Δτ. An inequality has been determined which yields a maximum Δτ regardless of the form of the forcing function if ε=0. However, for a nonzero ε the interval of convergence is highly dependent of the form of the forcing function. Subject Classification: [43]40.30, [43]40.20.
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