Some global results for nonlinear fourth order eigenvalue problems

• Autorzy: Ziyatkhan Aliyev
• Języki publikacji: EN

Abstrakty

EN

In this paper, we consider the nonlinear fourth order eigenvalue problem. We show the existence of family of unbounded continua of nontrivial solutions bifurcating from the line of trivial solutions. These global continua have properties similar to those found in Rabinowitz and Berestycki well-known global bifurcation theorems.

Słowa kluczowe

EN

Fourth order eigenvalue problem; Spectral parameter in the boundary condition; Bifurcation point; Global continua; Nodal properties of solutions

Kategorie tematyczne

• 34L15: Eigenvalues, estimation of eigenvalues, upper and lower bounds
• 47J10: Nonlinear spectral theory, nonlinear eigenvalue problems
• 34L30: Nonlinear ordinary differential operators
• 34B24: Sturm-Liouville theory
• 47J15: Abstract bifurcation theory
• 34C23: Bifurcation

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2014
• Tom: 12
• Numer: 12
• Strony: 1811-1828

Daty

wydano

2014-12-01

online

2014-07-20

Twórcy

autor

Ziyatkhan Aliyev

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-014-0416-z