二阶非线性系统向量边值问题解的存在性与惟一性

• 作 者: 杜增吉 林晓洁 葛渭高
• 机 构: Dept. of Math., Beijing Institute of Technology,Beijing 100081,China;Dept. Of Math., Xuzhou Normal U
• 出 处: 高校应用数学学报B辑
• 发表日期: 2004年期
• 关键词: vector differential equation nonlinear boundary value problem existence and uniq

This paper is concerned with the following second-order vector boundary value problem:x″=f(t,Sx,x,x′),0＜t＜1,x(0)=A,g(x(1),x′(1))=B,where x,f,g,A and B are n-vectors.Under appropriate assumptions,existence and uniqueness of solutions are obtained by using upper and lower solutions method.