数学杂志
數學雜誌
수학잡지
JOURNAL OF MATHEMATICS
2009年
1期
1-9
,共9页
大小结构种群模型%有限差分%存在唯一性%连续依赖性
大小結構種群模型%有限差分%存在唯一性%連續依賴性
대소결구충군모형%유한차분%존재유일성%련속의뢰성
size-structured population model%finite difference approximation%existence-uniqueness%continuous dependence
本文研究了一类带大小结构的多种群模型,利用有限差分逼近的方法,证明了差分方程的解序列收敛到原系统的弱解.最后,论证了差分方程的解关于初值的连续依赖性.
本文研究瞭一類帶大小結構的多種群模型,利用有限差分逼近的方法,證明瞭差分方程的解序列收斂到原繫統的弱解.最後,論證瞭差分方程的解關于初值的連續依賴性.
본문연구료일류대대소결구적다충군모형,이용유한차분핍근적방법,증명료차분방정적해서렬수렴도원계통적약해.최후,론증료차분방정적해관우초치적련속의뢰성.
In this paper, we investigate a class of size-structured populations model. We prove that the sequence of solutions of difference equations converges to the weak solution of original model via the methof of finite difference approximation. We also show the continuous dependence of the solution of difference equations with respect to the initial condition.
