An inverse bifurcation problem and an integral equation of the Abel type
Katsunori Iwasaki; Yutaka Kamimura; Katsunori Iwasaki; Received 17 October 1996; To the memory of Professor Tosihusa Kimura; Yutaka Kamimura; Received 17 October 1996; To the memory of Professor Tosihusa Kimura
Журнал:
Inverse Problems
Дата:
1997-08-01
Аннотация:
This paper concerns an inverse problem for nonlinear Sturm - Liouville problems. Under some assumptions on the first eigenfunction of the linearized problem, we establish the existence of the nonlinearity realizing a given first bifurcating branch. The proof is based on solving an integral equation of the Abel type.
191.2Кб