| Description |
1 online resource (737 p.) |
| Series |
Advances in Applied Mathematics Ser |
|
Advances in Applied Mathematics Ser
|
| Contents |
Cover -- Half Title -- Series Page -- Title Page -- Copyright Page -- Contents -- Preface -- Introduction -- How to Use This Book -- I.A. Definitions and Concepts -- 1. Definition of Terms -- 2. Alternative Theorems -- 3. Bifurcation Theory -- 4. Chaos in Dynamical Systems -- 5. Classi cation of Partial Differential Equations -- 6. Compatible Systems -- 7. Conservation Laws -- 8. Differential Equations -- Diagrams -- 9. Differential Equations -- Symbols -- 10. Differential Resultants -- 11. Existence and Uniqueness Theorems -- 12. Fixed Point Existence Theorems -- 13. Hamilton-Jacobi Theory |
|
14. Infinite Order Differential Equations -- 15. Integrability of Systems -- 16. Inverse Problems -- 17. Limit Cycles -- 18. PDEs & Natural Boundary Conditions -- 19. Normal Forms: Near-Identity Transformations -- 20. q-Differential Equations -- 21. Quaternionic Differential Equations -- 22. Self-Adjoint Eigenfunction Problems -- 23. Stability Theorems -- 24. Stochastic Differential Equations -- 25. Sturm-Liouville Theory -- 26. Variational Equations -- 27. Web Resources -- 28. Well-Posed Differential Equations -- 29. Wronskians & Fundamental Solutions -- 30. Zeros of Solutions |
|
I.B. Transformations -- 31. Canonical Forms -- 32. Canonical Transformations -- 33. Darboux Transformation -- 34. An Involutory Transformation -- 35. Liouville Transformation -- 1 -- 36. Liouville Transformation -- 2 -- 37. Changing Linear ODEs to a First Order System -- 38. Transformations of Second Order Linear ODEs -- 1 -- 39. Transformations of Second Order Linear ODEs -- 2 -- 40. Transforming an ODE to an Integral Equation -- 41. Miscellaneous ODE Transformations -- 42. Transforming PDEs Generically -- 43. Transformations of PDEs -- 44. Transforming a PDE to a First Order System |
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45. Prüfer Transformation -- 46. Modified Prüfer Transformation -- II. Exact Analytical Methods -- 47. Introduction to Exact Analytical Methods -- 48. Look-Up Technique* -- 48.1. Ordinary Differential Equations -- 48.2. Partial Differential Equations -- 48.3. Systems of Differential Equations -- 48.4. Hamiltonians Representing Differential Equations -- 48.5. The Laplacian in Different Coordinate Systems -- 48.6. Parametrized Differential Equations at Specific Values -- 49. Look-Up ODE Forms -- II.A. Exact Methods for ODEs -- 50. Use of the Adjoint Equation* -- 51. An Nth Order Equation |
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52. Autonomous Equations -- Independent Variable Missing -- 53. Bernoulli Equation -- 54. Clairaut's Equation -- 55. Constant Coefficient Linear ODEs -- 56. Contact Transformation -- 57. Delay Equations -- 58. Dependent Variable Missing -- 59. Differentiation Method -- 60. Differential Equations with Discontinuities* -- 61. Eigenfunction Expansions* -- 62. Equidimensional-in-x Equations -- 63. Equidimensional-in-y Equations -- 64. Euler Equations -- 65. Exact First Order Equations -- 66. Exact Second Order Equations -- 67. Exact Nth Order Equations -- 68. Factoring Equations* |
| Notes |
Description based upon print version of record |
|
69. Factoring/Composing Operators* |
| Form |
Electronic book
|
| Author |
Dobrushkin, Vladimir
|
| ISBN |
9781000468182 |
|
1000468186 |
|
