In this note conditions are derived which ensure that a class of nonlinear Sturm Liouville problems on the half line can be formulated as an asymptotically linear operator equation in L2(O, co). As a consequence it is possible to assert that there exist unbounded continua of solutions of this nonlinear Sturm-Liouville problem which "bifurcate from infinity" at each eigenvalue of its asymptotic linear
|Title of host publication||Proceedings of the Royal Irish Academy|
|Subtitle of host publication||Section A: Mathematical and Physical Sciences|
|Place of Publication||Dublin, Ireland|
|Publisher||Royal Irish Academy|
|Publication status||Published - 31 Mar 1977|
|Name||Proceedings of the Royal Irish Academy|
Toland, J. F. (1977). Asymptotic linearity and nonlinear eigenvalue problems II. In Proceedings of the Royal Irish Academy: Section A: Mathematical and Physical Sciences (pp. 1-12). (Proceedings of the Royal Irish Academy; Vol. 77a). Dublin, Ireland: Royal Irish Academy.