By using the ordinary dichotomy and theory of stability, we study the nonlinear differential equation and obtain some sufficient conditions which guarantee the existence and stability of almost periodic solution for t...By using the ordinary dichotomy and theory of stability, we study the nonlinear differential equation and obtain some sufficient conditions which guarantee the existence and stability of almost periodic solution for the nonlinear differential equation.展开更多
In this paper, a theoretical treatment of the stability behavior of the zero solution of nonlinear damped oscillator in the vectorial case is investigated. We study the sufficient conditions for the boundedness of sol...In this paper, a theoretical treatment of the stability behavior of the zero solution of nonlinear damped oscillator in the vectorial case is investigated. We study the sufficient conditions for the boundedness of solution of the nonlinear damped vectorial oscillator and the conditions for the stability of the zero solution to be uniformly stable as well as asymptotically stable.展开更多
文摘By using the ordinary dichotomy and theory of stability, we study the nonlinear differential equation and obtain some sufficient conditions which guarantee the existence and stability of almost periodic solution for the nonlinear differential equation.
文摘In this paper, a theoretical treatment of the stability behavior of the zero solution of nonlinear damped oscillator in the vectorial case is investigated. We study the sufficient conditions for the boundedness of solution of the nonlinear damped vectorial oscillator and the conditions for the stability of the zero solution to be uniformly stable as well as asymptotically stable.
