TECHNICAL REPORT No. 3 A BOUNDARY VALUE PROBLEM FOR A SYSTEM OF ORDINARY LINEAR DIFFERENTIAL EQUATIONS INVOLVING POWERS OF A PARAMETER

摘要

Sufficient conditions are imposed upon the matrix A(χ,λ) in order that asymptotic solutions of the system of differential equations as provided by Turrittin (Annals of Math. Studies 29:81-110, 1952) exist in a finite number of curvilinear sectors that cover the complexλ –plane.nAppropriate Green functions are discussed for the boundary value problem and the adjoint and the residues of the Green’s function are evaluated in special cases and utilized.