In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most inte...In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.展开更多
Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.The methods rely on the energy analysis and a scale argument.
文摘In this paper, a new kind of iteration technique for solving nonlinear ordinary differential equations is described and used to give approximate periodic solutions for some well-known nonlinear problems. The most interesting features of the proposed methods are its extreme simplicity and concise forms of iteration formula for a wide range of nonlinear problems.
文摘Uniqueness results are obtained for positive solutions of a class of quasilinear ordinary differential equations.The methods rely on the energy analysis and a scale argument.
