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Numerical verification of the global uniqueness of a positive solution for Nekrasov's equation

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Publication:701913
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DOI10.1007/BF03167471zbMath1064.45005OpenAlexW2055362382MaRDI QIDQ701913

Kenta Kobayashi

Publication date: 14 January 2005

Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03167471


zbMATH Keywords

positive solutionnumerical verificationglobal uniquenessNekrasov's integral equation


Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Theoretical approximation of solutions to integral equations (45L05) Positive solutions of integral equations (45M20)


Related Items (2)

On the local uniqueness and the profile of the extreme Stokes wave ⋮ A tale of two Nekrasov's integral equations



Cites Work

  • Bounds for water waves
  • On the existence theory for irrotational water waves
  • On the theory of steady-state waves of finite amplitude
  • Unnamed Item


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