Singular perturbations of boundary value problems for a class of third order nonlinear ordinary differential equations (Q2639218)

Existence, uniqueness, and asymptotic estimates of solutions of the BVP for a class of third order nonlinear differential equations with small parameter \(\epsilon >0:\epsilon y'''=f(x,y,y',\epsilon),\) \(x\in [0,1]\) with conditions: \(y'(0)=y(1)=y'(1)=0\) or \(y''(0)=y(1)=y'(1)=0\), is studied. For this the techniques of differential inequalities are used.