一类具有转点的右端不连续奇摄动边值问题

The asymptotic behavior of solutions to a class of right⁃hand discontinuous 2nd⁃order semilinear sin⁃ gularly perturbed boundary value problems with turning points was studied. Firstly, the original problem was divided into left and right problems at the discontinuity, the accuracy of the asymptotic solution to the left prob⁃ lem was improved through modification of the regularization equation for the left problem degradation problem, and the existence of the smooth solution to the left problem was proved by means of the Nagumo theorem. Sec⁃ ondly, the solution to the right problem was proved to have a spatial contrast structure, and the asymptotic so⁃ lution to the original problem was obtained through smooth joints at the discontinuity points. Finally, the cor⁃ rectness of the results was verified by an example.