Open AccessGlobal bifurcation from intervals for Sturm-Liouville problems which are not linearizable
Author(s) -
Guowei Dai
Publication year - 2013
Publication title -
electronic journal of qualitative theory of differential equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.524
H-Index - 33
ISSN - 1417-3875
DOI - 10.14232/ejqtde.2013.1.65
Subject(s) - mathematics , sturm–liouville theory , bifurcation , mathematical analysis , pure mathematics , nonlinear system , boundary value problem , physics , quantum mechanics
In this paper, we study unilateral global bifurcation which bifurcates from the trivial solutions axis or from innity for nonlinear Sturm{Liouville problems of the form 8 < : (pu 0 ) 0 +qu = au +af (x;u;u 0 ; ) +g (x;u;u 0 ; ) for x2 (0; 1);
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