Linear Differential Transformations of the Second Order

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1. Preface to the original editionAccess to Book Part  Full (PDF) 
2. Translator's noteAccess to Book Part  Full (PDF) 
3. 7 Local and boundary properties of phasesAccess to Book Part  Full (PDF) 
4. 8 Elementary phasesAccess to Book Part  Full (PDF) 
5. 9 Relations between first phases of two differential equations (q), (Q)Access to Book Part  Full (PDF) 
6. 10 Algebraic structure of the set of phases of oscillatory differential equations (q) in the interval (-∞, ∞)Access to Book Part  Full (PDF) 
7. II. Dispersion theoryAccess to Book Part  Full (PDF) 
8. 11 The transformation problemAccess to Book Part  Full (PDF) 
9. 12 Introduction to the theory of central dispersionsAccess to Book Part  Full (PDF) 
10. 13 Properties of central dispersionsAccess to Book Part  Full (PDF) 
11. 14 Extension of solutions of a differential equation (q) and their derivativesAccess to Book Part  Full (PDF) 
12. 15 Differential equations with the same central dispersions of the first kindAccess to Book Part  Full (PDF) 
13. Table of contentsAccess to Book Part  Full (PDF) 
14. 16 Differential equations with coincident central dispersions of the x-th and (x + 1)-th kinds (x=1,3)Access to Book Part  Full (PDF) 
15. 17 Bunch curves and Radon curvesAccess to Book Part  Full (PDF) 
16. 18 IntroductionAccess to Book Part  Full (PDF) 
17. 19 Linear mapping of the integral spaces of the differential equations (q), (Q) on each otherAccess to Book Part  Full (PDF) 
18. 20 General dispersions of the differential equations (q), (Q)Access to Book Part  Full (PDF) 
19. 21 Dispersions of the x-th kind; x = 1, 2, 3, 4Access to Book Part  Full (PDF) 
20. III. General transformation theoryAccess to Book Part  Full (PDF) 
21. 22 Establishment of the special form of the transformation formulaAccess to Book Part  Full (PDF) 
22. 23 Transformation properties of solutions of the differential equation (Qq)Access to Book Part  Full (PDF) 
23. 24 Existence and uniqueness problems for solutions of the differential equation (Qq)Access to Book Part  Full (PDF) 
24. I. Foundations of the theoryAccess to Book Part  Full (PDF) 
25. 25 Physical application of general transformation theoryAccess to Book Part  Full (PDF) 
26. 26 Existence and generality of complete transformationsAccess to Book Part  Full (PDF) 
27. 27 Structure of the set of complete solutions of the differential equation (Qq)Access to Book Part  Full (PDF) 
28. IV. Recent Developments of Transformation TheoryAccess to Book Part  Full (PDF) 
29. 28 An abstract algebraic model for the transformation theory of Jacobian oscillatory differential equationsAccess to Book Part  Full (PDF) 
30. 29 A survey of recent results in transformation theoryAccess to Book Part  Full (PDF) 
31. BibliographyAccess to Book Part  Full (PDF) 
32. Supplementary BibliographyAccess to Book Part  Full (PDF) 
33. Author and Subject IndexAccess to Book Part  Full (PDF) 
34. 2 Elementary properties of integrals of the differential equuation (q)Access to Book Part  Full (PDF) 
35. 3 Conjugate numbersAccess to Book Part  Full (PDF) 
36. 4 Centro-affine diffferential geometry of plane curvesAccess to Book Part  Full (PDF) 
37. 5 Polar coordinates of basesAccess to Book Part  Full (PDF) 
38. 6 Polar functionsAccess to Book Part  Full (PDF) 
39. 1 IntroductionAccess to Book Part  Full (PDF)