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Type of Document	Dissertation
Author	Person, Axelle Claude,
Author's Email Address	aperson@unity.ncsu.edu
URN	etd-08062002-104315
Title	Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.
Degree	PhD
Graduate Program	Mathematics
Advisory Committee	Advisor Name Title Michael Singer Committee Chair Felix Ulmer Committee Co-Chair Ernie Stitzinger Committee Member Gabriel Caloz Committee Member Hoon Hong Committee Member Kailash Misra Committee Member
Keywords	solving lower order order 4 differential equations
Date of Defense	2002-08-02
Availability	unrestricted
Abstract In this thesis we consider the problem of deciding if a fourth order linear di®erential equation can be solved in terms of solutions of lower order equations. There is a group theoretic criteria which can be turned into a decision procedure for solving this problem. Once the decision has been made that a certain type of equation can be solved in terms of lower order equations we also give methods for producing the lower order equations used for solving it.
Files	Filename       Size       Approximate Download Time (Hours:Minutes:Seconds)     28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access    etd.pdf 486.70 Kb 00:02:15 00:01:09 00:01:00 00:00:30 00:00:02