The inverse integrating factor for some classes of n-th order autonomous differential systems

Abstract

The inverse integrating factor for some classes of higher order autonomous differential systems is studied in this paper. Some sufficient conditions on the existence of the inverse integrating factors of certain classes of n-th order autonomous differential systems are presented. Also, the explicit forms of the inverse integrating factors can be shown. Simultaneously, some related examples are given to illustrate the feasibility and the effectiveness of the proposed results.