Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774209 | Journal of Differential Equations | 2017 | 21 Pages |
Abstract
In this article, we establish a new index theory defined for the general non-degenerate matrix paths in GL+(2). This is done by the complete homotopy classification for such paths. The parity relation theorem is established for relating this index to the Morse index of the corresponding differential operator. As an application, we establish the existence result of a non-trivial periodic solution of the asymptotically linear differential equation systems under an index twist condition.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Sai Liu, Yiming Long,