摘要
证明了小参数问题εy″+f(x,ε)y′+g(x,ε)y=0,y(-a)=a(ε),y(b)=β(ε)解的存在唯一性和一致有效渐近展开,其中ε>0,f(0,0)=,f′(0,0)=…=f^(m-1)(0,0)=0,f^(m)(0,0)≠0,m是一大于2的奇数。
The existence, uniqueness, and asymptotic expansion of the solution to the boundary value problem with a small parameter ε〉0 εy'+ f(X,ε)y'+g(x,ε)y=0 y(-a)=a(ε), y(b)=β(ε) are given, where f(0,0)=f'(0,0)=…=f^(m-1)(0,0)=0, f^(m)(0,0)≠0, m is an odd number. The results previously obtained by many authors are concerned With the case m=l, but the case we consider here is that m≥2, in such a situation this problem becomes more complicated.
出处
《吉林大学自然科学学报》
CAS
CSCD
1989年第1期23-32,共10页
Acta Scientiarum Naturalium Universitatis Jilinensis
基金
国家自然科学基金
关键词
奇异摄动
转向点
边值问题
singular perturbation, turning point, boundary value problem.
