摘要
运用打靶法考虑了二阶常微分方程泛函边值问题x″(t)=f(t,x(t),x′(t)),t∈[0,1],x(0)=0,x(1)=∫01a(t)x(t)dt解的存在性,给出了此类问题解的存在性判据,其中f:[0,1]×R2→R满足Carathéodory条件,a∈C([0,1],[0,∞)),且∫01a(t)tdt<1.
By using the shooting method, the existence of solutions of the following functional boundary value problem {x″(t)=f(t,x(t),x′(t)),t∈[0,1],x(0)=0,x(1)=∫0^1α(t)x(t)dt are obtained, where f:[0,1]×R^2→R satisfy Carathéodory condition α∈C([0,1],[0,∞)) , and ∫0^1α(t)tdt〈1.
出处
《纺织高校基础科学学报》
CAS
2008年第3期298-301,共4页
Basic Sciences Journal of Textile Universities
关键词
泛函边值问题
打靶法
存在性
functional boundary value problem
shooting method
existence