Integral equations of first kind:
This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Singapore
World Scientific Pub. Co.
c1995
|
| Schriftenreihe: | Series on Soviet and East European mathematics
v. 7 |
| Schlagworte: | |
| Online-Zugang: | FHN01 Volltext |
| Zusammenfassung: | This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to well-investigated classes of integral equations of the second kind.In this book the theory of integral equations of the first kind is constructed by using the methods of the theory of functions both of real and complex variables. Special attention is paid to the inversion formulas of model equations most often met in physics, mechanics, astrophysics, chemical physics etc. The general theory of linear equations including the Fredholm, the Noether, the Hausdorff theorems, the Hilbert-Schmidt theorem, the Picard theorem and the application of this theory to the solution of boundary problems are given in this book. The book studies the equations of the first kind with the Schwarz Kernel, the Poisson and the Neumann kernels; the Volterra integral equations of the first kind, the Abel equations and some generalizations, one-dimensional and many-dimensional analogues of the Cauchy type integral and some of their applications |
| Beschreibung: | vii, 265 p |
| ISBN: | 9789812796431 |
Internformat
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| 100 | 1 | |a Bitsadze, A. V. |d 1916-1994 |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Integral equations of first kind |c A.V. Bitsadze |
| 264 | 1 | |a Singapore |b World Scientific Pub. Co. |c c1995 | |
| 300 | |a vii, 265 p | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b c |2 rdamedia | ||
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| 490 | 0 | |a Series on Soviet and East European mathematics |v v. 7 | |
| 520 | |a This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to well-investigated classes of integral equations of the second kind.In this book the theory of integral equations of the first kind is constructed by using the methods of the theory of functions both of real and complex variables. Special attention is paid to the inversion formulas of model equations most often met in physics, mechanics, astrophysics, chemical physics etc. The general theory of linear equations including the Fredholm, the Noether, the Hausdorff theorems, the Hilbert-Schmidt theorem, the Picard theorem and the application of this theory to the solution of boundary problems are given in this book. The book studies the equations of the first kind with the Schwarz Kernel, the Poisson and the Neumann kernels; the Volterra integral equations of the first kind, the Abel equations and some generalizations, one-dimensional and many-dimensional analogues of the Cauchy type integral and some of their applications | ||
| 650 | 4 | |a Integral equations | |
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Datensatz im Suchindex
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|---|---|
| any_adam_object | |
| author | Bitsadze, A. V. 1916-1994 |
| author_facet | Bitsadze, A. V. 1916-1994 |
| author_role | aut |
| author_sort | Bitsadze, A. V. 1916-1994 |
| author_variant | a v b av avb |
| building | Verbundindex |
| bvnumber | BV044635787 |
| classification_rvk | SK 640 |
| collection | ZDB-124-WOP |
| ctrlnum | (ZDB-124-WOP)00005222 (OCoLC)1012713343 (DE-599)BVBBV044635787 |
| dewey-full | 515.45 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.45 |
| dewey-search | 515.45 |
| dewey-sort | 3515.45 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Electronic eBook |
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| genre | 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content |
| genre_facet | Aufsatzsammlung |
| id | DE-604.BV044635787 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:57:47Z |
| institution | BVB |
| isbn | 9789812796431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-030033758 |
| oclc_num | 1012713343 |
| open_access_boolean | |
| owner | DE-92 |
| owner_facet | DE-92 |
| physical | vii, 265 p |
| psigel | ZDB-124-WOP ZDB-124-WOP FHN_PDA_WOP |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | World Scientific Pub. Co. |
| record_format | marc |
| series2 | Series on Soviet and East European mathematics |
| spelling | Bitsadze, A. V. 1916-1994 Verfasser aut Integral equations of first kind A.V. Bitsadze Singapore World Scientific Pub. Co. c1995 vii, 265 p txt rdacontent c rdamedia cr rdacarrier Series on Soviet and East European mathematics v. 7 This book studies classes of linear integral equations of the first kind most often met in applications. Since the general theory of integral equations of the first kind has not been formed yet, the book considers the equations whose solutions either are estimated in quadratures or can be reduced to well-investigated classes of integral equations of the second kind.In this book the theory of integral equations of the first kind is constructed by using the methods of the theory of functions both of real and complex variables. Special attention is paid to the inversion formulas of model equations most often met in physics, mechanics, astrophysics, chemical physics etc. The general theory of linear equations including the Fredholm, the Noether, the Hausdorff theorems, the Hilbert-Schmidt theorem, the Picard theorem and the application of this theory to the solution of boundary problems are given in this book. The book studies the equations of the first kind with the Schwarz Kernel, the Poisson and the Neumann kernels; the Volterra integral equations of the first kind, the Abel equations and some generalizations, one-dimensional and many-dimensional analogues of the Cauchy type integral and some of their applications Integral equations Integralgleichung (DE-588)4027229-1 gnd rswk-swf 1\p (DE-588)4143413-4 Aufsatzsammlung gnd-content Integralgleichung (DE-588)4027229-1 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789810222635 Erscheint auch als Druck-Ausgabe 9810222637 http://www.worldscientific.com/worldscibooks/10.1142/2750#t=toc Verlag URL des Erstveroeffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Bitsadze, A. V. 1916-1994 Integral equations of first kind Integral equations Integralgleichung (DE-588)4027229-1 gnd |
| subject_GND | (DE-588)4027229-1 (DE-588)4143413-4 |
| title | Integral equations of first kind |
| title_auth | Integral equations of first kind |
| title_exact_search | Integral equations of first kind |
| title_full | Integral equations of first kind A.V. Bitsadze |
| title_fullStr | Integral equations of first kind A.V. Bitsadze |
| title_full_unstemmed | Integral equations of first kind A.V. Bitsadze |
| title_short | Integral equations of first kind |
| title_sort | integral equations of first kind |
| topic | Integral equations Integralgleichung (DE-588)4027229-1 gnd |
| topic_facet | Integral equations Integralgleichung Aufsatzsammlung |
| url | http://www.worldscientific.com/worldscibooks/10.1142/2750#t=toc |
| work_keys_str_mv | AT bitsadzeav integralequationsoffirstkind |