Alireza Sarakhsi - استاد
Siamak Ashrafi - استاد

In this paper, for a singular perturbation problem consist of the Cauchy-Euler equation with local and non-local boundary conditions. We investigate the condition of the self-adjoint and the non-self-adjoint, also look for the formation or non-formation of boundary layers for local boundary conditions using the Frequent uniform limit method. Also, for the state of non-local conditions, we convert the non-local boundary conditions into local conditions by finding the fundamental solution and then obtaining the necessary conditions with the help of the ۴-step method. Finally, we determine the formation or non-formation of a boundary layer for non-local conditions such as local conditions.

Singular Perturbation Problem, Boundary Layer, Fundamental Solution, Necessary Conditions