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Asymptotic behavior of a certain third order differential equation

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

Identiferoai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:handle/182782
Date03 June 2011
CreatorsAl-Ahmar, Mohamed
ContributorsPuttaswamy, Tumkur K.
Source SetsBall State University
Detected LanguageEnglish
Format36, [1] leaves ; 28 cm.
SourceVirtual Press

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