A CLASS OF SINGULARLY PERTURBEDBOUNDARY VALUE PROBLEMS FOR NONLINEARDIFFERENTIAL SYSTEMS  

作　　者：MO Jiaqi (Department of Mathematics, Anhui Normal University, Wuhu 241000, China) 

出　　处：《Systems Science and Mathematical Sciences》1999年第1期55-58,共4页

摘　　要：The singularly perturbed nonlinear problem εy" = f(x, y’)y + g(x, y’), 0 <x < 1, 0 < ε << 1, y(0) = A, y(1) = B, where y, f, g, A, B are n-dimensional vectors is considered. Using the iteration method and the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.The singularly perturbed nonlinear problem εy' = f(x, y')y + g(x, y'), 0 <x < 1, 0 < ε << 1, y(0) = A, y(1) = B, where y, f, g, A, B are n-dimensional vectors is considered. Using the iteration method and the theory of differential inequalities, the existence and asymptotic behavior of solution for the boundary value problems are studied.

关 键 词：SINGULAR PERTURBATION differential INEQUALITY BOUNDARY value problem. 

分 类 号：O175.8[理学—数学]