Baire category and boundary value problems for ordinary and partial differential inclusions under Caratheodory assumptions

[摘要] By using the Baire category method we prove an existence result for boundary value problem of Dirichlet type, for non-convex ordinary differential inclusions under Caratheodory assumptions. By counterexamples we show that an analogous existence result is non-valid for non-convex partial differential inclusions. (C) 2007 Elsevier Inc. All rights reserved.

[发布日期] 2007-12-15