About OpenKnowledge@NAU | For NAU Authors

Numerical solutions and bifurcation analysis of the Fucik spectrum

McHenry, M.W. (2016) Numerical solutions and bifurcation analysis of the Fucik spectrum. Masters thesis, Northern Arizona University.


Download (1MB) | Preview


We use a specialized Newton's method to approximate the Fucik spectrum solution curves of the negative Laplacian on a real Hilbert space. We include results for the two parameter differential equation. After computing the spectrum, we add a nonlinear term and compute bifurcation surfaces.

Item Type: Thesis (Masters)
Publisher’s Statement: © Copyright is held by the author. Digital access to this material is made possible by the Cline Library, Northern Arizona University. Further transmission, reproduction or presentation of protected items is prohibited except with permission of the author.
Keywords: Pure sciences; Fucik spectrum; Laplacian
Subjects: Q Science > QA Mathematics
NAU Depositing Author Academic Status: Student
Department/Unit: Graduate College > Theses and Dissertations
College of Engineering, Forestry, and Natural Science > Mathematics and Statistics
Date Deposited: 21 Nov 2017 03:43
URI: http://openknowledge.nau.edu/id/eprint/5105

Actions (login required)

IR Staff Record View IR Staff Record View


Downloads per month over past year