ASYMPTOTIC STABILITY FOR THREE-DIMENSIONAL LINEAR DIFFERENTIAL SYSTEMS WITH TIME-VARYING COEFFICIENTS

摘要

This paper is concerned with the asymptotic stability of the zero solution of three-dimensional linear differential systems with variable coefficients. The coefficients are not assumed to be positive. A concept innovated by Laszlo Hatvani plays a vital role in our results. Sufficient conditions are also given for the zero solution to be uniformly stable. Some suitable examples are included to illustrate our results. Finally, certain changes of variable are used to broaden the application of our results.