Special Session 34: Variational, Topological and Set-Valued Methods for Nonlinear Differential Problems

Existence results for second order nonlinear ODEs

Pasquale Candito
Mediterranean University of Reggio Calabria
Italy
Co-Author(s):    
Abstract:
The existence of at least one solution for non-linear two-point boundary value problems is discussed. In particular, a solution is obtained as the limit of a sequence of linear interpolations of the solutions of a corresponding differences problem. Examples are presented to illustrate also the a priori estimates obtained on the infinite norm of a solution and its derivatives.