In this thesis, we prove 2 theorems. First let £l0 be
a minimizing (or maximizing) density function for the first
antiperiodic eigenvalue £f1' in E[h,H,M], then £l0=h£q(a,b)+H£q[0,£k]/(a,b) (or £l0=H£q(a,b)+h£q[0,£k]/(a,b)) a.e. Finally, we prove min£f1'=min£g1=min£h1 where £g1 and £h1 are the first Dirichlet and second Neumann eigenvalues, respectively. Furthermore, we determine the jump point X0 of £l0 and the corresponding eigenvalue £f1', assuming that £l0 is symmetric about £k/2 We derive the nonlinear equations for this jump point X0 and £f1',then use Mathematica to solve the equations numerically.
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0122105-211845 |
| Date | 22 January 2005 |
| Creators | Kung, Shing-Yuan |
| Contributors | W.C.Lian, Chiu-Ya Lan, Tzon-Tzer Lu, Chun-Kong Law |
| Publisher | NSYSU |
| Source Sets | NSYSU Electronic Thesis and Dissertation Archive |
| Language | English |
| Detected Language | English |
| Type | text |
| Format | application/pdf |
| Source | http://etd.lib.nsysu.edu.tw/ETD-db/ETD-search/view_etd?URN=etd-0122105-211845 |
| Rights | unrestricted, Copyright information available at source archive |
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