The theory of ordinary differential equations:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
London [u.a.]
Longman
1975
|
| Edition: | 3. ed. |
| Series: | Longman mathematical texts
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | IX, 120 S. |
Staff View
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| 100 | 1 | |a Burkill, John C. |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a The theory of ordinary differential equations |c J. C. Burkill |
| 250 | |a 3. ed. | ||
| 264 | 1 | |a London [u.a.] |b Longman |c 1975 | |
| 300 | |a IX, 120 S. | ||
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Record in the Search Index
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|---|---|
| adam_text | CONTENTS
CHAPTER I
EXISTENCE OF SOLUTIONS page
1. Some problems for investigation 1
2. Simple ideas about solutions 2
8. Existence of a solution 4
4. Extensions of the existence theorem 8
CHAPTER II
THE LINEAR EQUATION
5. Existence theorem 12
6. The linear equation 18
7. Independent solutions 13
8. Solution of non homogeneous equations 17
9. Second order linear equations 18
10. Adjoint equations 20
CHAPTER III
OSCILLATION THEOREMS
11. Convexity of solutions 25
12. Zeros of solutions 27
13. Eigenvalues 29
14. Eigenfunctions and expansions 31
CHAPTER IV
SOLUTION IN SERIES
15. Differential equations in complex variables 83
10. Ordinary and singular points 34
vii
via CONTENTS
17. Solution* near a regular singularity 86
18. Convergence of toe power aeries 38
19. The second solution when exponent* are equal or differ by
an integer 89
50. The method of Probenius 40
51. The point at infinity 42
32. Bessel s equation 42
CBATTKB T
SINGULARITIES OF EQUATIONS
28. Solution* near a singularity 47
54. Regular and irregular singularities 40
55. Equations with assigned singularities 51
26. The hypergeometric equation 52
27. The hypergeometric function 53
88. Expression of F(a, b; e; x) as an integral 54
29. Formulae connecting hypergeometric functions 55
80. Confluence of singularities 57
CHAFTEB TI
CONTOUR INTEGRAL SOLUTIONS
81. Solutions expressed as integrals 59
82. Laplace s linear equation 59
88. Choice of contours 62
84. Further examples of contours 68
85. Integrals containing a power of f — z 65
CHAPTER VII
LEGENDRE FUNCTIONS
86. Genesis of Legendre s equation 70
37. Legendre polynomials 71
88. Integrals for PJz) 72
89. The generating function. Recurrence relations 78
40. The function / ,(») tor general v 74
|
| adam_txt |
CONTENTS
CHAPTER I
EXISTENCE OF SOLUTIONS page
1. Some problems for investigation 1
2. Simple ideas about solutions 2
8. Existence of a solution 4
4. Extensions of the existence theorem 8
CHAPTER II
THE LINEAR EQUATION
5. Existence theorem 12
6. The linear equation 18
7. Independent solutions 13
8. Solution of non homogeneous equations 17
9. Second order linear equations 18
10. Adjoint equations 20
CHAPTER III
OSCILLATION THEOREMS
11. Convexity of solutions 25
12. Zeros of solutions 27
13. Eigenvalues 29
14. Eigenfunctions and expansions 31
CHAPTER IV
SOLUTION IN SERIES
15. Differential equations in complex variables 83
10. Ordinary and singular points 34
vii
via CONTENTS
17. Solution* near a regular singularity 86
18. Convergence of toe power aeries 38
19. The second solution when exponent* are equal or differ by
an integer 89
50. The method of Probenius 40
51. The point at infinity 42
32. Bessel's equation 42
CBATTKB T
SINGULARITIES OF EQUATIONS
28. Solution* near a singularity 47
54. Regular and irregular singularities 40
55. Equations with assigned singularities 51
26. The hypergeometric equation 52
27. The hypergeometric function 53
88. Expression of F(a, b; e; x) as an integral 54
29. Formulae connecting hypergeometric functions 55
80. Confluence of singularities 57
CHAFTEB TI
CONTOUR INTEGRAL SOLUTIONS
81. Solutions expressed as integrals 59
82. Laplace's linear equation 59
88. Choice of contours 62
84. Further examples of contours 68
85. Integrals containing a power of f — z 65
CHAPTER VII
LEGENDRE FUNCTIONS
86. Genesis of Legendre's equation 70
37. Legendre polynomials 71
88. Integrals for PJz) 72
89. The generating function. Recurrence relations 78
40. The function / ,(») tor general v 74 |
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| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| edition | 3. ed. |
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| index_date | 2024-07-02T16:06:33Z |
| indexdate | 2024-07-09T20:47:44Z |
| institution | BVB |
| language | English |
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| physical | IX, 120 S. |
| publishDate | 1975 |
| publishDateSearch | 1975 |
| publishDateSort | 1975 |
| publisher | Longman |
| record_format | marc |
| series2 | Longman mathematical texts |
| spelling | Burkill, John C. Verfasser aut The theory of ordinary differential equations J. C. Burkill 3. ed. London [u.a.] Longman 1975 IX, 120 S. txt rdacontent n rdamedia nc rdacarrier Longman mathematical texts Equacoes Diferenciais Ordinarias larpcal Differential equations Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Differentialgleichung (DE-588)4012249-9 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=015150249&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Burkill, John C. The theory of ordinary differential equations Equacoes Diferenciais Ordinarias larpcal Differential equations Differentialgleichung (DE-588)4012249-9 gnd |
| subject_GND | (DE-588)4012249-9 |
| title | The theory of ordinary differential equations |
| title_auth | The theory of ordinary differential equations |
| title_exact_search | The theory of ordinary differential equations |
| title_exact_search_txtP | The theory of ordinary differential equations |
| title_full | The theory of ordinary differential equations J. C. Burkill |
| title_fullStr | The theory of ordinary differential equations J. C. Burkill |
| title_full_unstemmed | The theory of ordinary differential equations J. C. Burkill |
| title_short | The theory of ordinary differential equations |
| title_sort | the theory of ordinary differential equations |
| topic | Equacoes Diferenciais Ordinarias larpcal Differential equations Differentialgleichung (DE-588)4012249-9 gnd |
| topic_facet | Equacoes Diferenciais Ordinarias Differential equations Differentialgleichung |
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