Zhou Qin-de, Li Yong. The Asymptotic Expansions of Singularly Perturbed Boundary Value Problems[J]. Applied Mathematics and Mechanics, 1989, 10(6): 553-557.
 Citation: Zhou Qin-de, Li Yong. The Asymptotic Expansions of Singularly Perturbed Boundary Value Problems[J]. Applied Mathematics and Mechanics, 1989, 10(6): 553-557.

# The Asymptotic Expansions of Singularly Perturbed Boundary Value Problems

• Publish Date: 1989-06-15
• In this paper we study the singularly penurbed boundary value problem:εy"=f(t,y,ε), y(0)=ξ(ε),y(1)=η(ε), where ε is a positive small parameter In the conditions:fy(0,y,0)≥m0,fy(1,y,0)≥m0 and fy(t,y,ε)≥0, we prove the existences, and uniformly valid asymptotic expansions of solutions for the given boundary value problems, and hence we improve the existing results.
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