On the asymptotic solution of the singularly perturbed boundary value problems posed by Bohé
The author studies the asymptotic solution to the two-point Dirichlet boundary value problem for the scalar second-order singularly perturbed nonlinear ordinary differential equation \(\varepsilon\ddot x= g(x)f(\dot x)\) on the interval \(0\leq t\leq 1\). The interior shock layer where the solution jumps from nearly \(x(0)\) to nearly \(x(1)\) is considered.
scientific article; zbMATH DE number 1423636
scientific article