Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
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- by Juan J. Nieto PDF
- Proc. Amer. Math. Soc. 125 (1997), 2599-2604 Request permission
Abstract:
We study the existence and approximation of solutions for a nonlinear second order ordinary differential equation with Dirichlet boundary value conditions. We present a generalized quasilinearization technique to obtain a sequence of approximate solutions converging quadratically to a solution.References
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Additional Information
- Juan J. Nieto
- Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad de Santiago de Compostela, Spain
- Email: amnieto@usc.es
- Received by editor(s): March 13, 1996
- Additional Notes: The author’s research was partially supported by D.G.I.C.Y.T. (Spain), project PB94-0610, and by EC Network, CHRX-CT94-0555
- Communicated by: Hal L. Smith
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 2599-2604
- MSC (1991): Primary 34A45, 34B15
- DOI: https://doi.org/10.1090/S0002-9939-97-03976-2
- MathSciNet review: 1402880