Solving homogeneous linear differential equations of order 4 in terms of equations of smaller order.

solving;lower order;order 4;differential equations

Person, Axelle Claude ; Gabriel Caloz, Committee Member,Michael Singer, Committee Chair,Felix Ulmer, Committee Co-Chair,Kailash Misra, Committee Member,Hoon Hong, Committee Member,Ernie Stitzinger, Committee Member,Person, Axelle Claude ; Gabriel Caloz ; Committee Member ; Michael Singer ; Committee Chair ; Felix Ulmer ; Committee Co-Chair ; Kailash Misra ; Committee Member ; Hoon Hong ; Committee Member ; Ernie Stitzinger ; Committee Member

University:North Carolina State University

关键词: solving;    lower order;    order 4;    differential equations;   

Others  :  https://repository.lib.ncsu.edu/bitstream/handle/1840.16/3059/etd.pdf?sequence=1&isAllowed=y

美国|英语

来源: null

【 摘 要 】

In this thesis we consider the problem of deciding if a fourth order linear differential 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.