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Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions
Author(s):
Juan
J.
Nieto
Journal:
Proc. Amer. Math. Soc.
125
(1997),
2599-2604.
MSC (1991):
Primary 34A45, 34B15
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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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- 2.
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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
DOI:
10.1090/S0002-9939-97-03976-2
PII:
S 0002-9939(97)03976-2
Keywords:
Dirichlet problem,
generalized quasilinearization,
quadratic convergence
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 of article:
Copyright
1997,
American Mathematical Society
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