ABSTRACT

There is an extensive literature on the Milloux problem and its gen­ eralizations . A natural question to ask is how to extend these results to general nonlinear systems. In [7, 6] , the phase-volume method is used to obtain generalizations of the Milloux-Hartman theorem to nonlinear differ­ ence equations and nonlinear ordinary differential equations, respectively. This approach proved to be sufficiently robust that it can also be applied to some systems with saddle-point equilibria.