Singular Integral Equations : Boundary problems of functions theory and their applications to mathematical physics / by N. I. Muskhelishvili
データ種別 | 電子ブック |
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出版情報 | Dordrecht : Springer Netherlands , 1958 |
本文言語 | 英語 |
大きさ | 447p : online resource |
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内容注記 | I Fundamental Propkrtibs of Cauchy Integrals 1 The Holder Condition 2 Integrals of the Cauehy type 3 Some corollaries on Cauehy integrals 4 Cauehy integrals near ends of the line of integration II The Hilbert and the Biemann-Helbert Problems and Singular Integral Equations (Case of Contours) 5 The Hilbert and Riemann-Hilbert boundary problems 6 Singular integral equations with Cauehy type kernels (case of contours) III Applications to Some Boundary Problems 7 The Dirichlet problem 8 Various representations of holomorpkic functions by Cauehy and analogous integrals 9 Solution of the generalized Riemann-Hilbert-Poincaré problem IV The Hilbert Problem in the Case of Arcs or Discontinuous Boundary Conditions and Some of its Applications 10 The Hilbert problem in the case of arcs or discontinuous boundary conditions 11 Inversion formulae for arcs 12 Effective solution of some boundary problems of the theory of harmonic functions 13 Effective solution of the principal problems of the static theory of elasticity for the half-plane, circle and analogous regions V Singular Integral Equations for the Case of Arcs or Discontinuous Coefficients and Some of their Applications 14 Singular integral equations for the case of arcs and continuous coefficients 15 Singular integral equations in the case of discontinuous coefficients 16 Application to the Dirichlet problem and similar problems 17 Solution of the intgro-differential-equation of the theory of aircraft wings of finite span VI The Hilbert Problem for Several Unknown Functions and Systems of Singular Integral Equations 18 The Hilbert problem for several unknown functions 19 Systems of singular integral equations with Cauchy type kernels and some supplements Appendix 1 On smooth and piecewise smooth lines Appendix 2 On the behaviour of the Cauchy integral near corner points Appendix 3 An elementary proposition regarding bi-orthogpnal systems of functions References and author index |
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一般注記 | In preparing this translation for publication certain minor modifications and additions have been introduced into the original Russian text, in order to increase its readibility and usefulness. Thus, instead of the first person, the third person has been used throughout; wherever possible footnotes have been included with the main text. The chapters and their subsections of the Russian edition have been renamed parts and chapters respectively and the last have been numbered consecutively. An authors and subject index has been added. In particular, the former has been combined with the list of references of the original text, in order to enable the reader to find quickly all information on anyone reference in which he may be especially interested. This has been considered most important with a view to the difficulties experienced outside Russia in obtaining references, published in that country. Russian names have been printed in Russian letters in the authors index, in order to overcome any possible confusion arising from transliteration |
著者標目 | *Muskhelishvili, N. I. author SpringerLink (Online service) |
件 名 | LCSH:Mathematics LCSH:Integral equations LCSH:Mechanics FREE:Mathematics FREE:Integral Equations FREE:Mechanics |
分 類 | DC23:515.45 |
巻冊次 | ISBN:9789400999947 |
ISBN | 9789400999947 |
URL | http://dx.doi.org/10.1007/978-94-009-9994-7 |
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