本文主要目的是探討抽象展發方程
(1)的解之存在性、唯一性、漸進行為與其應用。其中，算子族 在Banach空間 生成一個 -evolution system。第一章先介紹一些相關被景與預備知識。
第二章提出一些關於抽象展發方程(1)的mild solution存在性與唯一性之充分條件。在第二章為基礎下，第三章討論一些關於抽象微分方程(2)的classical solution存在性與唯一性之充分條件。其中算子 在Banach空間 生成一個 -semigroup。另外，在本章亦討論關於抽象展發方程(1)的Y-value solution存在性與唯一性之充分條件。
第四章主要討論抽象展發方程(1)在那些適當的條件下，其解將滿足conditional stability的漸進行為。若抽象展發方程(1)中算子族 在Banach空間 生成一個 -evolution system時，第五章描述另外一些適當的條件下，其解將滿足conditional stability的漸進行為。
在每章的最後一節都呈現一些例子。這些例子皆為該章節的應用。

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