Abstract

Publisher Summary This chapter focuses on periodic functions generated as the solutions of nonlinear differential-difference equations. The functional equations are usually categorized as differential-difference equations with retarded arguments. These equations occur in an impressively wide and varied field of applications. Most prevalent among these are control systems, biological growth behavior, and econometrics. Using the method of successive approximation, it appears that corresponding to each such initial specification φ, there exists an interval (0, X) on which equation has a unique solution. It follows that a solution is uniquely determined by its specification on any interval of length τn within its domain of definition.

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