In the paper we discuss the global asymptotic stability of a type of nonlinear third-order systems with nonseparable variables by using method of Liapunov functions.By means of the analogism and the improved Barbashin...In the paper we discuss the global asymptotic stability of a type of nonlinear third-order systems with nonseparable variables by using method of Liapunov functions.By means of the analogism and the improved Barbashin-Krasovskill theorem,we give some sufficient conditions which have not been reported.展开更多
By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation. Some sufficient conditions are obtained which guarantee ...By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation. Some sufficient conditions are obtained which guarantee the boundary value problems for a coupled system of nonlinear third-order differential equation has at least one positive solution. Some examples are given to verify our results.展开更多
文摘In the paper we discuss the global asymptotic stability of a type of nonlinear third-order systems with nonseparable variables by using method of Liapunov functions.By means of the analogism and the improved Barbashin-Krasovskill theorem,we give some sufficient conditions which have not been reported.
基金Foundation item： Supported by the National Natural Science Foundation of China（10801001） Supported by the Natural Science Foundation of Anhui Province（1208085MA13）
文摘By using cone expansion-compression theorem in this paper, we study boundary value problems for a coupled system of nonlinear third-order differential equation. Some sufficient conditions are obtained which guarantee the boundary value problems for a coupled system of nonlinear third-order differential equation has at least one positive solution. Some examples are given to verify our results.
