ASYMPTOTIC SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR THIRD-ORDER ORDINARY DIFFERENTIAL EQUATIONS WITH TURNING POINTS  

作　　者：JIANG Fu-ru(江福汝) JIN Qi-nian(金其年) 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University,Shanghai 200072, P R China Department of Mathematics, Nanjing University, Nanjing 210000, P R China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2001年第4期394-403,共10页应用数学和力学（英文版）

摘　　要：Boundary value problem; for third-order ordinary differential equations with turning points are studied as follows : epsilon gamma ' ' + f(x ; epsilon) gamma ' + g(x ; epsilon) gamma ' +h(x ; epsilon) gamma = 0 (- a < x < b, 0 epsilon 1), where f(x ; 0) has several multiple zero points in ( - n, b). the necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.Boundary value problem; for third-order ordinary differential equations with turning points are studied as follows : epsilon gamma ' ' + f(x ; epsilon) gamma ' + g(x ; epsilon) gamma ' +h(x ; epsilon) gamma = 0 (- a < x < b, 0 epsilon 1), where f(x ; 0) has several multiple zero points in ( - n, b). the necessary conditions for exhibiting resonance is given, and the uniformly valid asymptotic solutions and the estimations of remainder terms are obtained.

关 键 词：boundary value problems ordinary differential equations turning points asymptotic solutions 

分 类 号：O175.1[理学—数学]