In this thesis, we consider the following delay boundary value problem
egin{eqnarray*}(BVP)left{begin{array}{l}y'(t)+q(t)f(t,y(sigma(t)))=0, tin(0,1)/{ au},
y(t)=xi(t), tin[- au_{0},0],
y(1)=0,end{array}
right.
end{eqnarray*}, where the functions f and q satisfy certain conditions; $sigma(t)leq t$ is a nonlinear real valued
continuous function.
We use two different methods to establish some existence criteria for the solution of problem
(BVP). We generalize the delay term to a nonlinear function and obtain more general and
supplementary results for the known ones about linear delay term due to Agarwal and O¡¦Regan
[1] and Jiang and Xu [5].
| Identifer | oai:union.ndltd.org:NSYSU/oai:NSYSU:etd-0705107-205933 |
| Date | 05 July 2007 |
| Creators | Luo, Yu-chen |
| Contributors | Tzon-Tzer Lu, Chun-Kong Law, Hsin-Jung Chen, Wei-Cheng Lian |
| 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-0705107-205933 |
| Rights | withheld, Copyright information available at source archive |
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