ON SOLVING PERIODIC BOUNDARY PROBLEM OF SEMILINEAR SYSTEMS WITH A ONE-PARAMETER IMBEDDING  

作　　者：刘国庆 傅冬生 沈祖和 

机构地区：[1]State Key Lab.for Novel Software Technology,Nanjing University,Nanjing 210093 PRC School of Sciences Nanjing University of Technology Nanjing 210009 PRC [2]State Key Lab.for Novel Software Technology,Najing University,Nanjing 210093 PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2003年第2期230-239,共10页

摘　　要：The paper is concerned with solving periodic boundary problem of semilinear systems,which will be differentiably embedded into an one-parameter family of operators.The solution of the systems is then found by continuing the solution curve of operator homotopy.When the Newton-Kantorovich's procedure is applied to the corresponding operator equations,an efficient algorithm is derived.Finally,the theoretical results are in excellent agreement with the numerical examples.The paper is concerned with solving periodic boundary problem of semi-linear systems, which will be differentiably embedded into an one-parameter family of operators. The solution of the systems is then found by continuing the solution curve of operator homotopy. When the Newton-Kantorovich 's procedure is applied to the corresponding operator equations, an efficient algorithm is derived. Finally, the theoretical results are in excellent agreement with the numerical examples.

关 键 词：周期解 收敛性 边值问题 半线性系统 非线性微分方程 

分 类 号：O175.8[理学—数学]