Bifurcation and Continuation of Solution Paths of Semilinear Elliptic Systems
| Autor: | Jia-Shii Shiau, 蕭嘉璽 |
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| Rok vydání: | 2001 |
| Druh dokumentu: | 學位論文 ; thesis |
| Popis: | 89 In this paper, we use the central finite difference method, tangent predictor method, newton's iterative method, pseudo-arclength continuation method, implicit function theorem and finite dimensional Liapunov-Schmidt reduction method to investigate the multiple solutions, the continuation and bifurcation of semilinear elliptic systems. Moreover, we research several mathematical models to find solution paths containing bifurcation points, turning points and regular points of semilinear elliptic systems. It will we helpful to understand the qualitative properties in semilinear elliptic systems. |
| Databáze: | Networked Digital Library of Theses & Dissertations |
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