数学物理学报(英文版) ›› 1985, Vol. 5 ›› Issue (2): 233-241.
• 论文 • 上一篇
章国华1, 林宗池2
Chang K. W.1, Lin Zongchi2
摘要： We study the boundary value problem
εy"=f(t,y,ε,μ),μ < t < 1-μ,y(t,ε,μ)|t=μ=A(ε,μ),y(t,ε,μ)|t=1-μ=B(ε,μ), where ε, μ are two positive parameters,y, f, A, B are n-dimensional vector functions and the boundary is perturbed. This vector boundary problem does not appear to have been studied. Under appropriate assumptions we obtain existence of solution and satisfies
|yi(t,e,μ)-Ym(t,ε,μ)| ≤ Li(t,ε,μ)+R4(t,ε,μ)+Γi(ε,μ) where i=1, 2, …, n.