Abstract and Applied Analysis
Volume 2005 (2005), Issue 1, Pages 67-86
doi:10.1155/AAA.2005.67

Continuous dependence on data for quasiautonomous nonlinear boundary value problems

Abstract

We devote this paper to quasiautonomous second-order differential equations in Hilbert spaces governed by maximal monotone operators. Some bilocal boundary conditions are associated. We discuss the continuous dependence of the solution both on the operator and on the boundary values. One uses the methods of nonlinear analysis. Some applications to internal approximate schemes are given.