A functional differential equation related to the logistic equation is studied by a combination of numerical and perturbation methods. Parameter regions are identified where the solution to the nonlinear problem is approximated well by known series solutions of the linear version of the equation. The solution space for a certain class of functions is then mapped out using a continuation approach.
翻译:结合数值方法与摄动方法,研究了与逻辑斯蒂方程相关的泛函微分方程。确定了非线性问题的解可由该方程线性版本已知级数解良好近似的参数区域。进而采用延拓方法映射出某类函数解的空间结构。