Linear Differential Transformations of the Second Order
Borůvka, Otakar
GDML_Books, (1971), p.
EUDML-ID : urn:eudml:doc:202383 
@book{401380,
     title = {Linear Differential Transformations of the Second Order},
     series = {GDML\_Books},
     publisher = {The English Universities Press, Ltd.},
     address = {London},
     year = {1971},
     mrnumber = {MR0463539},
     zbl = {0222.34002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/401380}
}

Borůvka, Otakar. Linear Differential Transformations of the Second Order. GDML_Books (1971),  http://gdmltest.u-ga.fr/item/401380/

Sommaire

Preface to the original edition p. V-VI
Translator's note p. VII-VIII
7 Local and boundary properties of phases p. [65]-86
8 Elementary phases p. [87]-93
9 Relations between first phases of two differential equations (q), (Q) p. [94]-101
10 Algebraic structure of the set of phases of oscillatory differential equations (q) in the interval (-∞, ∞) p. [102]-105
II. Dispersion theory p. [107]
11 The transformation problem p. [109]-111
12 Introduction to the theory of central dispersions p. [112]-117
13 Properties of central dispersions p. [118]-134
14 Extension of solutions of a differential equation (q) and their derivatives p. [135]-137
15 Differential equations with the same central dispersions of the first kind p. [138]-148
Table of contents p. IX-XVI
16 Differential equations with coincident central dispersions of the x-th and (x + 1)-th kinds (x=1,3) p. [149]-156
17 Bunch curves and Radon curves p. [157]-163
18 Introduction p. [164]-165
19 Linear mapping of the integral spaces of the differential equations (q), (Q) on each other p. [166]-172
20 General dispersions of the differential equations (q), (Q) p. [173]-182
21 Dispersions of the x-th kind; x = 1, 2, 3, 4 p. [183]-193
III. General transformation theory p. [195]
22 Establishment of the special form of the transformation formula p. [197]-200
23 Transformation properties of solutions of the differential equation (Qq) p. [201]-208
24 Existence and uniqueness problems for solutions of the differential equation (Qq) p. [209]-212
I. Foundations of the theory p. [1]
25 Physical application of general transformation theory p. [213]-215
26 Existence and generality of complete transformations p. [216]-218
27 Structure of the set of complete solutions of the differential equation (Qq) p. [219]-223
IV. Recent Developments of Transformation Theory p. [225]
28 An abstract algebraic model for the transformation theory of Jacobian oscillatory differential equations p. [227]-236
29 A survey of recent results in transformation theory p. [237]-242
Bibliography p. [243]-247
Supplementary Bibliography p. [248]-249
Author and Subject Index p. [251]-254
2 Elementary properties of integrals of the differential equuation (q) p. [11]-16
3 Conjugate numbers p. [17]-27
4 Centro-affine diffferential geometry of plane curves p. [28]-33
5 Polar coordinates of bases p. [34]-49
6 Polar functions p. [50]-64
1 Introduction p. 3-10