Title page for etd-0705107-205933


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URN etd-0705107-205933
Author Yu-chen Luo
Author's Email Address No Public.
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Department Applied Mathematics
Year 2006
Semester 2
Degree Master
Type of Document
Language English
Title Existence of Solutions for Boundary Value Problems with
Nonlinear Delay
Date of Defense 2007-06-08
Page Count 28
Keyword
  • existence results
  • fixed point theorem
  • nonlinear delay
  • singular boundary value problem
  • Abstract 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].
    Advisory Committee
  • Hsin-Jung Chen - chair
  • Tzon-Tzer Lu - co-chair
  • Chun-Kong Law - advisor
  • Wei-Cheng Lian - advisor
  • Files
  • etd-0705107-205933.pdf
  • indicate accessible in a year
    Date of Submission 2007-07-05

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