Boundary value problem for a system of fast and slow second-order equations in the case of intersecting roots of the degenerate equation. (Q1395230)

This paper is devoted to a singularly perturbed Tikhonov-type system of fast \({\varepsilon}^2u''=g(u,v,x)\) and slow \(v''=f(u,v,x)\), \( 0<x<1,\) second-order equations supplemented with the boundary conditions \(u'(0)=u'(1)=0,\) \(v(0)=v^0,\) \(v(1)=v^1.\) A theorem on the passage to the limit solution to the boundary value problem is proved in the case when the roots of the degenerate equation intersect.