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Asymptotic solution of a certain ordinary differential equation in the neighborhood of an irregular singular point

In order to introduce the investigation contemplated in this thesis, let us consider the differential equation d4y+ 3Σ zj (aj + bjzα) djy = 0(1)z4 dz4 j = 0 dzjHere, the variable z is regarded as complex, as are the coefficients aj, bj, (j=0,1,..., n-1) and a is an arbitrary positive integer. It is also assumed that the difference of no two roots of the indicial equation about z = 0 is congruent to zero modulo α .This problem arises in some current Bio-medical problems.Ball State UniversityMuncie, IN 47306

Identiferoai:union.ndltd.org:BSU/oai:cardinalscholar.bsu.edu:handle/181467
Date03 June 2011
CreatorsNelson, Christopher
ContributorsPuttaswamy, T. K.
Source SetsBall State University
Detected LanguageEnglish
Formatii, 30 leaves ; 28 cm.
SourceVirtual Press

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