R. MONACO, R. RIGANTI and M. G. ZAVATTARO

Singular perturbation methods for the solution of some nonlinear boundary value problems

Pages: 133-157
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.