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Third-order ODEs for twisting type-N vacuum solutions

โœ Scribed by Finley, J D; Plebanski, J F; Przanowski, Maciej

Book ID
118202798
Publisher
Institute of Physics
Year
1994
Tongue
English
Weight
420 KB
Volume
11
Category
Article
ISSN
0264-9381

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The concept of disfocality is introduced for third-order differential equations y"' + p(t)y = O. (\*) This helps to improve the Liapunov inequality when y(t) is a solution of (\*) with y(a) = 0 = y~(a), y(b) = 0 = y'(b), and y(t) ยข 0, t โ€ข (a, b). If y(t) is a solution of (\*) with y(tl) = 0 = y(t2)