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Jacobi fields and linear connections for arbitrary second-order ODEs

โœ Scribed by M. Jerie; G.E. Prince

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
169 KB
Volume
43
Category
Article
ISSN
0393-0440

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โœฆ Synopsis

We discuss generalisations of Jacobi fields and Raychaudhuri's equation from the geodesic case to that of an arbitrary system of second-order ODEs. Our results are obtained using a natural choice of linear connection on evolution space.

๐Ÿ“œ SIMILAR VOLUMES

Connection Formulas for Second Order Dif
Connection Formulas for Second Order Differential Equations with a Complex Parameter and Having an Arbitrary Number of Turning Points
โœ W. Eberhard; G. Freiling; A. Schneider ๐Ÿ“‚ Article ๐Ÿ“… 1994 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 929 KB

## Abstract We consider the differential equation on a finite interval I, where I contains __m__ turning points, that is here, zeros of ฯ•. Using asymptotic estimates proved by R. E. LANGER for solutions of (\*) for intervals containing only one turning point we derive asymptotic estimates (for ฯ โ†’