Geodesic
Some global results for nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition
Ziyatkhan S. Aliyev1 ; Gunay M. Mamedova2
1Baku State University and IMM NAS of Azerbaijan Baku, Azerbaijan
2Baku State University Baku, Azerbaijan
Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 75-87
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We consider nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition. We investigate the structure of the set of bifurcation points, and study the behavior of two families of continua of nontrivial solutions of this problem contained in the classes of functions having oscillation properties of the eigenfunctions of the corresponding linear problem, and bifurcating from the points and intervals of the line of trivial solutions.
DOI : 10.4064/ap115-1-6
Keywords: consider nonlinear sturm liouville problems spectral parameter boundary condition investigate structure set bifurcation points study behavior families continua nontrivial solutions problem contained classes functions having oscillation properties eigenfunctions corresponding linear problem bifurcating points intervals line trivial solutions

Ziyatkhan S. Aliyev  1   ; Gunay M. Mamedova  2

1 Baku State University and IMM NAS of Azerbaijan Baku, Azerbaijan
2 Baku State University Baku, Azerbaijan 
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Ziyatkhan S. Aliyev; Gunay M. Mamedova. Some global results for nonlinear Sturm–Liouville problems with spectral parameter in the boundary condition. Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 75-87. doi: 10.4064/ap115-1-6

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