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Original Articles

On well‐posedness of nonlinear conjugation boundary value problem for analytic functions

Pages 153-163 | Received 19 Oct 1999, Published online: 14 Oct 2010

References

  • Gakhov , F.D. 1977 . Boundary Value Problems , 2nd ed. , Moscow : Nauka . (3rd English transl., (in Russian); 1966 (in English) Pergamon Press Oxford
  • Muskhelishvili , N.I. 1968 . Singular Integral Equations , 3rd ed. , Moscow Noordhoff, Groninge : Nauka . (in Russian), (in English), 1953
  • Natalevich , V.K. 1952 . Nonlinear singular integral equations and nonlinear boundary value problems of the theory of analytic functions . Uchen. zap. Kazan Univ. , 112 (10) : 155 – 190 . (Russian)
  • Obnosov , Yu.V. 1985 . “ Some nonlinear boundary value problems solving in closed form ” . In Nauchnye Trudy Jubilejnogo Seminara po Kraevym Zadacham , Edited by: Platonov , V.P. 85 – 96 . Minsk : Universities Press . (in Russian)
  • von , L. and Wolfersdorf . 1992 . On the theory of the nonlinear Hilbert problem for holomorphic functions , Edited by: Begehr , H. and Jeffrey , A. 134 – 149 . Harlow : Addison Wesley Longman . Partial Differential Equations with Complex Analysis
  • Guseinov , A.I. and ShMukhtarov , Kh. 1980 . Introduction to the Theory of Nonlinear Singular Integral Equations , Moscow : Nauka . (in Russian)
  • Mityushev , V.V. and Rogosin , S.V. 1999 . Constructive Methods for Linear and Nonlinear Boundary Value Problems for Analytic Functions , Boca Raton, Fl. : CRC Press . Theory and Applications, (to appear)
  • Govorov , N.V. and Kuznetsov , N.K. 1974 . “ On nonlinear conjugation boundary value problem for disconnected contour ” . In Theory of Functions, Functional Analysis and Applications 49 – 63 . Khar'kov, (20), (in Russian)
  • Gakhov , F.D. 1968 . On nonlinear boundary value problem generalizing the Riemann boundary value problem . Doklady AN SSSR , 181 (2) : 271 – 274 . (in Russian)
  • Gakhov , F.D. 1973 . On nonlinear boundary value problem with addmissible zeroes on the contour . Doklady AN SSSR , 210 (6) : 21 – 24 . (in Russian)
  • Rysjuk , N.A. 1977 . On nonlinear boundary value problem of the Riemann type . Doklady AN bSSR , 21 (4) : 51 – 56 . (in Russian)

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