Critical case problems boundary value problem

It turns out that under suitable conditions, the asymptotics for both the initial value problem and the boundary value problem in the critical case have the same form as in Sections II.B and III.A. In particular, the solution of the initial value problem approaches one of the solutions of the reduced equation in the limit as /x. 0. But the algorithm for constructing the asymptotic expansion undergoes some changes. 

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