An iterative method for a class of quasilinear boundary value problems

• Autores: Qingliu Yao
• Localización: Journal of computational and applied mathematics, ISSN 0377-0427, Vol. 230, Nº 1, 2009, págs. 306-313
• Idioma: inglés
• DOI: 10.1016/j.cam.2008.11.015
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• Resumen

  • Let n=3. In this paper, we consider the following general quasilinear boundary value problem of second order where the nonlinear term f(t,u) is a strong Carathéodory function. By applying the monotonically iterative technique, we construct a sequence of successive approximations and prove that the sequence converges uniformly to the solution of the above problem under suitable assumptions.