在本論文中,我們證明了一個微分積分問題的解之存在性與唯一性.這個問
題包含二個變數:c和.alpha.當0.ltoreq c .ltoreq 1 時,我們可以得到
一個全面且均勻有界的解.當c>1時,可以得到一個局部且均勻有界的解.並
且,當空間變數趨近無窮大時,平行板的解會收斂至半平面的最小正解.

In this thesis, we examine the existence and uniqueness for the
solution of a nonlinear integrodifferential initial- value
problem which is induced from a "simple transport modle" in the
slab geometry. Our main results contain the following: First,
the existence and uniqueness of a global, uniformly bounded
solution are showed for all 0.ltoreq c .ltoreq 1 and 0.lotoreq.
alpha.1. Second, the existence and uniqueness of a local,
uniformly bounded solution are also proved for all c>1. Third,
we also find out the relationship between the solution in the
half space and that of in the slab geometry.