Introduction to integral equations with applications:
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
New York [u.a.]
Dekker
1985
|
| Series: | Pure and applied mathematics
93 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 254 S. graph. Darst. |
| ISBN: | 0824772938 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to integral equations with applications |
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| 336 | |b txt |2 rdacontent | ||
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| 490 | 1 | |a Pure and applied mathematics |v 93 | |
| 650 | 4 | |a Mathematik | |
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Record in the Search Index
| _version_ | 1804117811067355136 |
|---|---|
| adam_text | Contents
Preface
v
1.
Integral
Equations,
Their Origin and
Classification
1
1.1
Examples of Problems as Integral Equations
2
1.2
Classification of Integral Equations
15
1.3
Some Important Identities
19
1.4
Laplace, Fourier, and Other Transforms
25
1.5
Basic Numerical Integration Formulas
38
2.
Modeling of Problems as Integral Equations
42
2.1
Population Dynamics
43
2.2
Control Problems
50
2.3
Mechanics Problems
52
2.4
Initial Value Problems Reduced to Volterra Integral Equations
60
2.5
Boundary Value Problems Reduced to
Fredholm
Integral
Equations
62
2.6
Mixed Boundary Conditions: Dual Integral Equations
68
3.
Volterra Integral Equations
73
3.1
Volterra Integral Equations of the Second Kind
74
3.2
Volterra Integral Equations of the First Kind
82
3.3
Numerical Solution of Volterra Integral Equations
87
IX
x
Contents
4.
The Green s Function
95
4.1
Nonhomogeneous Ordinary Differential Equations
96
4.2
Fredholm
Integral Equations and the Green s Function
117
5.
Fredholm
Integral Equations
122
5.1
Fredholm Integral Equations with Degenerate Kernel
124
5.2
Fredholm Integral Equations with Symmetric Kernel
137
5.3
Fredholm Integral Equations of the Second Kind
153
5.4
Numerical Solutions of Fredholm Integral Equations
171
6.
Existence of the Solutions: Basic Fixed Point Theorems
182
6.1
Preliminaries: Toward a Contractive Mapping
182
6.2
Fixed Point Theorem of Banach
197
APPENDIX A
:
Fourier and Hankel Transforms
209
A.I Higher-Dimensional Fourier Exponential Transform
209
A.2 Fourier Sine Transform
209
A.3 Fourier Cosine Transform
210
A.4 Finite Fourier Sine and Cosine Transforms
212
A.5 Hankel Transform
215
A.6 Finite Hankel Transform
216
APPENDIX B: Some Homogeneous Boundary Value Problems,
Their Integral Representation, the Green s
Function, and Classical Solutions
219
APPENDIX C: The Green s Function and Partial Differential
Equations
223
APPENDIX
D
:
Solution of Equation
(6.32) 226
Bibliography
229
Answers to Exercises
232
Index
249
|
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| indexdate | 2024-07-09T16:00:20Z |
| institution | BVB |
| isbn | 0824772938 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-002194153 |
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| physical | X, 254 S. graph. Darst. |
| publishDate | 1985 |
| publishDateSearch | 1985 |
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| publisher | Dekker |
| record_format | marc |
| series | Pure and applied mathematics |
| series2 | Pure and applied mathematics |
| spelling | Jerri, Abdul J. Verfasser aut Introduction to integral equations with applications New York [u.a.] Dekker 1985 X, 254 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics 93 Mathematik Integral equations Numerical solutions Mathematics Numerische Integration (DE-588)4172168-8 gnd rswk-swf Integralgleichung (DE-588)4027229-1 gnd rswk-swf Integralgleichung (DE-588)4027229-1 s DE-604 Numerische Integration (DE-588)4172168-8 s Pure and applied mathematics 93 (DE-604)BV000001885 93 Digitalisierung UB Regensburg application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002194153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Jerri, Abdul J. Introduction to integral equations with applications Pure and applied mathematics Mathematik Integral equations Numerical solutions Mathematics Numerische Integration (DE-588)4172168-8 gnd Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4172168-8 (DE-588)4027229-1 |
| title | Introduction to integral equations with applications |
| title_auth | Introduction to integral equations with applications |
| title_exact_search | Introduction to integral equations with applications |
| title_full | Introduction to integral equations with applications |
| title_fullStr | Introduction to integral equations with applications |
| title_full_unstemmed | Introduction to integral equations with applications |
| title_short | Introduction to integral equations with applications |
| title_sort | introduction to integral equations with applications |
| topic | Mathematik Integral equations Numerical solutions Mathematics Numerische Integration (DE-588)4172168-8 gnd Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Mathematik Integral equations Numerical solutions Mathematics Numerische Integration Integralgleichung |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=002194153&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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