Asymptotic behavior of a certain third order differential equation

No Thumbnail Available
Authors
Al-Ahmar, Mohamed A.
Advisor
Puttaswamy, T. K.
Issue Date
1983
Keyword
Degree
Thesis (M.S.)--Ball State University, 1983.
Department
Other Identifiers
Abstract

In order to introduce the investigation contemplated in this thesis, let us consider the differential equation d3y d2y dyz3 _+ z2(b0 + blzm) + z - (c0 + clzm) dz3 dz2 dz+ (d0 + dlzm + d2z2m) y = 0Here, m is an arbitrary positive integer and the variable z is complex as are the constantsbi,ci (i=0,1) and di (i=0,1,2) with d2≠0. It is also assumed that the difference of no two roots of the indicial equation about z = 0 is congruent to zero modulo m.Ball State UniversityMuncie, IN 47306

Collections