Green's functions and boundary value problems:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
New York [u.a.]
Wiley
1998
|
| Ausgabe: | 2. ed. |
| Schriftenreihe: | Pure and applied mathematics
A Wiley-Interscience publication |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | XVII, 689 S. Ill. |
| ISBN: | 0471610224 |
Internformat
MARC
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| 100 | 1 | |a Stakgold, Ivar |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Green's functions and boundary value problems |c Ivar Stakgold |
| 250 | |a 2. ed. | ||
| 264 | 1 | |a New York [u.a.] |b Wiley |c 1998 | |
| 300 | |a XVII, 689 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
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| 490 | 0 | |a Pure and applied mathematics | |
| 490 | 0 | |a A Wiley-Interscience publication | |
| 650 | 4 | |a Mathematische Physik | |
| 650 | 4 | |a Boundary value problems | |
| 650 | 4 | |a Green's functions | |
| 650 | 4 | |a Mathematical physics | |
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Datensatz im Suchindex
| _version_ | 1804126448975347712 |
|---|---|
| adam_text | CONTENTS
Preface to the Second Edition xi
Preface to the First Edition xiii
0. Preliminaries 1
1. Heat Conduction, 3
2. Diffusion, 10
3. Reaction Diffusion Problems, 13
4. The Impulse Momentum Law: The Motion of Rods and Strings, 21
5. Alternative Formulations of Physical Problems, 33
6. Notes on Convergence, 41
7. The Lebesgue Integral, 46
1. Green s Functions (Intuitive Ideas) 53
1. Introduction and General Comments, 53
2. The Finite Rod, 62
3. Maximum Principle, 76
4. Examples of Green s Functions, 80
2. The Theory of Distributions 97
1. Basic Ideas, Definitions, Examples, 97
2. Convergence of Sequences and Series of Distributions, 118
3. Fourier Series, 138
4. Fourier Transforms and Integrals, 158
5. Differential Equations in Distributions, 179
3. One Dimensional Boundary Value Problems 201
1. Review, 201
2. Boundary Value Problems for Second Order Equations, 207
3. Boundary Value Problems for Equations of Order p, 219
vii
viii CONTENTS
4. Alternative Theorems, 223
5. Modified Green s Functions, 234
4. Hilbert and Banach Spaces M2
1. Functions and Transformations, 242
2. Linear Spaces, 246
3. Metric Spaces, Normed Linear Spaces, Banach Spaces, 253
4. Contractions, 265
5. Hilbert Spaces, 283
6. Separable Hilbert Spaces and Orthonormal Bases, 298
7. Linear Functionals, 312
5. Operator Theory 317
1. Basic Ideas and Examples, 317
2. Closed Operators, 325
3. Invertibility—The State of an Operator, 329
4. Adjoint Operators, 335
5. Solvability Conditions, 341
6. The Spectrum of an Operator, 346
7. Compact Operators, 357
8. Extremal Properties of Operators, 361
6. Integral Equations
1. Introduction, 370
2. Fredholm Integral Equations, 379
3. The Spectrum of a Self Adjoint Compact Operator, 392
4 The Inhomogeneous Equation, 401
5. Variational Principles and Related Approximation Methods, 419
7. Spectral Theory of Second Order Differential Operators 435
1. Introduction; the Regular Problem, 435
2. Weyl s Classification of Singular Problems, 461
3. Spectral Problems with a Continuous Spectrum, 474
8. Partial Differential Equations 491
1. Classification of Partial Differential Equations, 491
2. Typical Well Posed Problems for Hyperbolic and Parabolic
Equations, 505
3. Elliptic Equations, 525
4. Variational Principles for Inhomogeneous Problems, 553
CONTENTS ix
9. Nonlinear Problems 597
1. Introductory Concepts, 597
2. Branching Theory, 618
3. Perturbation Theory for Linear Problems, 626
4. Techniques for Nonlinear Problems, 638
5. The Stability of the Steady State, 670
Index 683
|
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| ctrlnum | (OCoLC)37141128 (DE-599)BVBBV011862421 |
| dewey-full | 515/.43 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515/.43 |
| dewey-search | 515/.43 |
| dewey-sort | 3515 243 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| edition | 2. ed. |
| format | Book |
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| isbn | 0471610224 |
| language | English |
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| series2 | Pure and applied mathematics A Wiley-Interscience publication |
| spelling | Stakgold, Ivar Verfasser aut Green's functions and boundary value problems Ivar Stakgold 2. ed. New York [u.a.] Wiley 1998 XVII, 689 S. Ill. txt rdacontent n rdamedia nc rdacarrier Pure and applied mathematics A Wiley-Interscience publication Mathematische Physik Boundary value problems Green's functions Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Green-Funktion (DE-588)4158123-4 gnd rswk-swf Randwertproblem (DE-588)4048395-2 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Randwertproblem (DE-588)4048395-2 s DE-604 Green-Funktion (DE-588)4158123-4 s Theoretische Physik (DE-588)4117202-4 s 1\p DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008013867&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Stakgold, Ivar Green's functions and boundary value problems Mathematische Physik Boundary value problems Green's functions Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Green-Funktion (DE-588)4158123-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| subject_GND | (DE-588)4117202-4 (DE-588)4044779-0 (DE-588)4158123-4 (DE-588)4048395-2 |
| title | Green's functions and boundary value problems |
| title_auth | Green's functions and boundary value problems |
| title_exact_search | Green's functions and boundary value problems |
| title_full | Green's functions and boundary value problems Ivar Stakgold |
| title_fullStr | Green's functions and boundary value problems Ivar Stakgold |
| title_full_unstemmed | Green's functions and boundary value problems Ivar Stakgold |
| title_short | Green's functions and boundary value problems |
| title_sort | green s functions and boundary value problems |
| topic | Mathematische Physik Boundary value problems Green's functions Mathematical physics Theoretische Physik (DE-588)4117202-4 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Green-Funktion (DE-588)4158123-4 gnd Randwertproblem (DE-588)4048395-2 gnd |
| topic_facet | Mathematische Physik Boundary value problems Green's functions Mathematical physics Theoretische Physik Partielle Differentialgleichung Green-Funktion Randwertproblem |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008013867&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
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