Asymptotic linearity and nonlinear eigenvalue problems II

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Abstract

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
Original languageEnglish
Title of host publicationProceedings of the Royal Irish Academy
Subtitle of host publicationSection A: Mathematical and Physical Sciences
Place of PublicationDublin, Ireland
PublisherRoyal Irish Academy
Pages1-12
Publication statusPublished - 31 Mar 1977

Publication series

NameProceedings of the Royal Irish Academy
Volume77a

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