Asymptotic behavior of the solution of a certain third order differential equation near an irregular singular point

Abstract

In this master thesis, it is proposed to study the asymptotic behaviour of the solutions of the third order differential equation d3y d2y dyZ2 ____ + z (a0 + a1z) ____ + (b0+b1z+b2z2) ___ + (c0+c1z+c2z2)y = 0 dz3 dz2 dzHere, the variable z and the constants ai (i=0,1), bi, ci (i=0,1,2) are complex with b2 # 0. It is also assumed that no two roots of the indicial equation about the regular singular point z = 0 differ by an integer.Ball State UniversityMuncie, IN 47306