A class of singularly perturbed Robin boundary value problems in critical case

Authors：Zhang, Hao; Wang, Na^*

Source：Electronic Journal of Qualitative Theory of Differential Equations, 2023, (34): 1-18.

DOI：10.14232/ejqtde.2023.1.34

• critical case
• singular perturbation
• boundary function method
• approxi-mate solution
• diagonalization technique

This paper discusses a class of nonlinear singular perturbation problems with Robin boundary values in critical cases. By using the boundary layer function method and successive approximation theory, the corresponding asymptotic expan-sions of small parameters are constructed, and the existence of uniformly efficient smooth solutions is proved. Meanwhile, we give a concrete example to prove the valid-ity of our results.

• Institution
  上海应用技术学院