TY - JOUR
T1 - Asymptotic Expansion of Solutions to Singular Perturbation Problems in Critical Cases
AU - Zhang , Hao
AU - Wang , Na
JO - Journal of Nonlinear Modeling and Analysis
VL - 3
SP - 637
EP - 647
PY - 2023
DA - 2023/08
SN - 5
DO - http://doi.org/10.12150/jnma.2023.637
UR - https://global-sci.org/intro/article_detail/jnma/21956.html
KW - Singularly perturbed problem, critical case, boundary function
method, approximate solution.
AB - <p style="text-align: justify;">This paper investigates the problem of singular perturbed integral
initial values and Robin boundary values in the critical case. Based on the
boundary layer function method, we not only construct the asymptotic approximation of the original equation, but also prove the uniform validity of
the asymptotic solution by successive approximation. At the same time, we
give an example to prove the validity of the theoretical results.</p>