Some global results for nonlinear Sturm-Liouville problems with spectral parameter in the boundary condition

• Autorzy: Ziyatkhan S. Aliyev , Gunay M. Mamedova
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 45C05: Eigenvalue problems
• 34L15: Eigenvalues, estimation of eigenvalues, upper and lower bounds
• 47J10: Nonlinear spectral theory, nonlinear eigenvalue problems
• 34B15: Nonlinear boundary value problems
• 34C10: Oscillation theory, zeros, disconjugacy and comparison theory
• 34B24: Sturm-Liouville theory
• 47J15: Abstract bifurcation theory
• 34C23: Bifurcation

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 1
• Strony: 75-87

Daty

wydano

2015

Twórcy

autor

Ziyatkhan S. Aliyev

• Baku State University
• IMM NAS of Azerbaijan, Baku, Azerbaijan

autor

Gunay M. Mamedova

• Baku State University, Baku, Azerbaijan

Identyfikatory

DOI

10.4064/ap115-1-6