Singular perturbation for a nonlinear boundary value problem of first order system

✍ Scribed by Chen Songlin

• Publisher: Springer
• Year: 1996
• Tongue: English
• Weight: 206 KB
• Volume: 17
• Category: Article
• ISSN: 0253-4827
• DOI: 10.1007/bf00119958

✦ Synopsis

In this paper, we study the following perturbed nonlinear boundary value problem of the form: x,tl,e)

ex' =f(t,x,u,e) ~tl

where 6x, ~ are functions of e, 0<~*<<1. Under some suitable conditions, we give the ao,mptotic expansion of solution of any order, and obtain the estimation of remainder term by ushzg the comparison theorem_