Quadratic approximation of solutions for differential equations with nonlinear boundary conditions

  • Authors:
  • T. Jankowski

  • Affiliations:
  • -

  • Venue:
  • Computers & Mathematics with Applications
  • Year:
  • 2004

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Abstract

The quasilinearization method is used for nonlinear ordinary differential equations with nonlinear boundary conditions. Given are sufficient conditions when corresponding monotone sequences converge to the unique solution and this convergence is quadratic.