在這篇論文，我們討論以下半線性微分方程式
t^σu''=f(u) 在某些連續函數f(u)上的正解。
這是Emden-Fowler 方程式的一個推廣的情形，我們討論他的解的一些表現式以及爆炸解，這篇論文我們把f(u)分成三個部分，分別為有界、次線性、超線性，並得到四個結果。

In this thesis, we discuss the following semilinear differential equation
t^σu''=f(u) for some continuous function f(u).
This is a generalized case of Emden-fowler equation, we study the solution representation and life-span. In this paper we have four results under three different conditions on f , namely bounded, sublinear, and superlinear cases.
we will derive their representation and show the numerical results.

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