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