Linear Differential Transformations of the Second Order
Creator: Borůvka, Otakar
Contributor: Arscott, F. M. (translator)
Language: English
Publisher: The English Universities Press, Ltd.
Place: London, 1971
ISBN: 0-340-12408-3
MR0463539 | Zbl 0222.34002
MSC: 34-02
Table of Contents
General properties of ordinary homogeneous differential equations of the second order
Phase theory of ordinary linear homogeneous differential equations of the seconf order
| [34]-49 | 5 Polar coordinates of bases |
| [50]-64 | 6 Polar functions |
| [65]-86 | 7 Local and boundary properties of phases |
| [87]-93 | 8 Elementary phases |
| [94]-101 | 9 Relations between first phases of two differential equations (q), (Q) |
| [102]-105 | 10 Algebraic structure of the set of phases of oscillatory differential equations (q) in the interval (-∞, ∞) |
Theory of central dispersions
| [107] | II. Dispersion theory |
| [109]-111 | 11 The transformation problem |
| [112]-117 | 12 Introduction to the theory of central dispersions |
| [118]-134 | 13 Properties of central dispersions |
Special problems of central dispersions
| [135]-137 | 14 Extension of solutions of a differential equation (q) and their derivatives |
| [138]-148 | 15 Differential equations with the same central dispersions of the first kind |
| [149]-156 | 16 Differential equations with coincident central dispersions of the x-th and (x + 1)-th kinds (x=1,3) |
| [157]-163 | 17 Bunch curves and Radon curves |
Theory of general dispersions
General transformations
| [195] | III. General transformation theory |
| [197]-200 | 22 Establishment of the special form of the transformation formula |
| [201]-208 | 23 Transformation properties of solutions of the differential equation (Qq) |
| [209]-212 | 24 Existence and uniqueness problems for solutions of the differential equation (Qq) |
| [213]-215 | 25 Physical application of general transformation theory |
Complete transformations
Recent developments of transformation theory
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