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Asymptotic formulae of Liouville–Green type for higher even-order equations

✍ Scribed by A.S.A. Al-Hammadi

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
295 KB
Volume
10
Category
Article
ISSN
1007-5704

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✦ Synopsis

Asymptotic formulae of Liouville-Green type for general linear ordinary differential equations of an arbitrary even-order 2m are investigated. A theorem on asymptotic behaviour at the infinity of 2m linearly independent solutions is proved. It is shown that numerous results known in the literature are contained in this theorem as particular cases.

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