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Asymptotics of solutions of second-order differential equations with two turning points and a complex parameter. I

✍ Scribed by Z. A. Yanson

Publisher
Springer US
Year
1979
Tongue
English
Weight
612 KB
Volume
11
Category
Article
ISSN
1573-8795

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πŸ“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
✍ W. Eberhard; G. Freiling; A. Schneider πŸ“‚ Article πŸ“… 1994 πŸ› John Wiley and Sons 🌐 English βš– 929 KB

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

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In this paper, we study some aspects of the dynamics in the phase plane of smooth secondorder differential equations ẍ = w(x, αΊ‹) possessing an r-dimensional Lie point symmetry algebra L r with r β‰₯ 2, focusing on the existence, nonexistence and localization periodic orbits. Finally, it is proved that