ON NUMERICAL SOLUTIONS OF PERIODICALLY PERTURBED CONSERVATIVE SYSTEMS  

作　　者：刘国庆 傅冬生 沈祖和 

机构地区：[1]Department of Basic Science, Nanjing University of Chemical Technology,Nanjing,210009, P R China [2]Department of Mathematics, Nanjing University, Nanjing,210093, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2002年第2期226-235,共10页应用数学和力学（英文版）

摘　　要：A nonlinear perturbed conservative system is discussed. BY means of Hadamard's theorem. the existence and uniqueness of the solution of the continuous problem arc proved. When the equation is discreted on the uniform meshes, it is proved that the corresponding discrete problem has a unique solution, Finally, the accuracy of the numerical solution is considered and a simple algorithm is provided for solving the nonlinear difference equation.A nonlinear perturbed conservative system is discussed. BY means of Hadamard's theorem. the existence and uniqueness of the solution of the continuous problem arc proved. When the equation is discreted on the uniform meshes, it is proved that the corresponding discrete problem has a unique solution, Finally, the accuracy of the numerical solution is considered and a simple algorithm is provided for solving the nonlinear difference equation.

关 键 词：nonlinear system numerical solution uniqueness and existence algorithm 

分 类 号：O241.81[理学—计算数学]