Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

QUASILINEARIZATION FOR SECOND ORDER SINGULAR BOUNDARY VALUE PROBLEMS WITH SOLUTIONS IN WEIGHTED SPACES

  • Devi, J.Vasundhara (Department of Mathermatics Gayathri Vidya Parishad College) ;
  • Vatsala, A.S. (Department of Mathematics University)
  • Published : 2000.09.01
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Abstract

In this paper, we develop the method of quasilinearization comvined with the methos of upper and lower solutions for singular second order boundary value problems in weighted spaces. The sequences constructed converge uniformly and monotonically to the unique of the second singular order boundary value problem. Further we prove the rate of convergence is quadratic.

Keywords

References

  1. Quasilinearization and Nonlinear Boundary Value Problems R. Bellman;R. Kalaba
  2. Differential and Integral Inequalities v.I V. Lakshmikantham;S. Leela
  3. Nonlinear Analysis v.37 A Note on Singular Boundary Value Problems with Solutions on Weighted Spaces R. Kannan;Donal O. Reagen
  4. Generalized Quasilinearization for Nonlinear Problems V. Lakshmikantham;A. S. Vatsala