A nonlinear integral transform and a global inverse bifurcation theory

作者:Kamimura Yutaka*
来源:Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 2011, 10(4): 863-911.

摘要

We consider a nonlinear integral transform and show that the transform acts as a homeomorphism between certain metric spaces of positive functions. We apply the result to the inverse bifurcation problem of determining the nonlinear term of a certain nonlinear Sturm-Liouville problem from its first bifurcating branch, and we establish the well-posedness of the inverse problem. An application to an inverse problem of determining a restoring force from a time-map is also given.

  • 出版日期2011