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
• Texto completo no disponible (Saber más ...)
• 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.