Abstract: By making use of the differential inequalities, in this paper we study the uniqueness of solutions of the two kinds of the singularly perturbed boundary value problems for the nonlinear third order ordinary differential equation with a small parameter ε>0:
εy'"=q(x,y,y',y",ε),
y⁽ⁱ⁾(0,ε)=a_i(ε),y(1,ε)=β(ε),y'(1,ε)=γ(ε),where i=1, 2; a_i(ε), β(ε) and γ(ε) are functions defined on (0, ε₀], while ε₀>0 is a constant.
This paper is the continuation of our works[4, 6].