R. MONACO, R. RIGANTI and M. G. ZAVATTARO
Singular perturbation methods for the solution of some nonlinear boundary value problems
Received: 8 May 2001
Mathematics Subject Classification (2000): 34E15 - 76P05
Abstract: This paper deals with some singular perturbation problems, described by two classes of nonlinear differential equations with nonlinear boundary conditions. Uniformly valid solutions for one or two boundary layers problems are derived by means asymptotic expansions composition of inner and outer solutions to initial and/or terminal boundary layers. In two examples, approximated solutions are explicitly derived for boundary value problems arising from stationary Boltzmann like model equations.