Advanced Search

Query:

Fill in the form and click »Search«...

Format:

Display: entries per page entries

Zbl 0724.34025
Mawhin, Jean; Schmitt, Klaus
Nonlinear eigenvalue problems with the parameter near resonance. (English)
[J] Ann. Pol. Math. 51, 241-248 (1990). ISSN 0066-2216; ISSN 1730-6272/e

Nonlinear Sturm-Liouville problems subject to either periodic or Dirichlet boundary conditions are investigated. The nonlinear perturbation term is bounded and satisfies a sign condition. By Leray- Schauder degree theory it can be shown that close to the principal eigenvalue of the linear part either one or three solutions exist.
[A.Steindl (Wien)]

MSC 2000:: *34B15 Nonlinear boundary value problems of ODE
34B24 Sturm-Liouville theory
34C23 Bifurcation (periodic solutions)
34C10 Qualitative theory of oscillations of ODE: Zeros, etc.
34C25 Periodic solutions of ODE

Keywords: Nonlinear Sturm-Liouville problems; Leray-Schauder degree theory

Cited in: Zbl 0966.34015

Comment on this Item PDF MathML XML ASCII DVI PS BibTeX Online Ordering Journal Journal

	Scientific prize winners of the ICM 2010
	Overhang
	Lie groups, physics and geometry. An introduction for physicists, engineers and chemists.

Advanced Search

Zentralblatt MATH Berlin [Germany]