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时变人口发展方程的解
Solution of a Time-Dependent Population Evolution Equation
【摘要】 通过一适当的变换,时变人口发展方程可表示为如下的抽象发展方程dq/dt=A(1)q+d/dt[G(t)q],q(0)=q0.本文给出了此方程的唯一解.
【Abstract】 By an appropriate transform,the continuous population evolution cquation is expressed as the following abstrac,cvolution equation (dq/dt)=A(t)q+(d/dt)[G(t)q(t)], q(0)=q0, where A(t)q=-u(r)q(r)-(dq/dr) D(A(t))={q(r)|q(r),A(t)q(r)∈L2[O,rm],q(0)=0}. The unique solution of the equation is obtained.
【关键词】 算子;
半群/人口发展方程;
发展算子;
【Key words】 opcrator; scmigroup/population; evolution; equation; cvolution operator;
【Key words】 opcrator; scmigroup/population; evolution; equation; cvolution operator;
- 【文献出处】 广西大学学报(自然科学版) ,Journal of Guangxi University(Natural Science Edition) , 编辑部邮箱 ,1990年04期
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