关于L^1（0，m）空间中的非线性泛函微分种群增长方程的解

The Solution of a Functional Differential Population Evolution Equation in L￣1(0,m)

本文在Ｌ~１（０，ｍ）空间建立了较目前所研究的种群增长方程广泛的非线性泛函微分种群增长方程，通过证明该非线性发展算子是ω型ｍ－增生的和利用新近文［３，４］中的结果得到了该方程解的存在唯一性条件，这里的结论推广了目前关于种群增长方程的一些已知结果，例如［５，１０］等。

Abstract The paper presentes a general functional differential population evolution equation in L￣1(0,m)and has proved that the evolution operator is m-accrctivc of ω type.By use of the conclusions in [3,4],the conditions of existence and uniqueness of the weak and the strong solution of the population evolution equation are given.Of course,these conclusions have extended those given by other author[5,10].