Generalized Lyapunov-Schmidt reduction for parametrized equations at near singular points

摘要

The Lyapunov-Schmidt reduction is generalized such that it uniformly handles both perfect and imperfect singularities. The results presented need neither very precise information about the location of the (near) singularities nor a precise knowledge of (near) null spaces. (C) 2001 Elsevier Science Inc. All rights reserved. AMS classification: 58C15. [References: 14]