Generalized quasilinearization method for a second order ordinary differential equation with Dirichlet boundary conditions

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Generalized Quasilinearization Method for a Second Order Ordinary Differential Equation with Dirichlet Boundary Conditions

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.

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ژورنال

عنوان ژورنال: Proceedings of the American Mathematical Society

سال: 1997

ISSN: 0002-9939,1088-6826

DOI: 10.1090/s0002-9939-97-03976-2