研究如下形式具有随机周期移民扰动的非线性种群发展方程的非局部柯西问题,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0<r<rm,t0p(r,0)=p0(r)+g(p(r,t0)),T>t0>0 p(0,t)=β(t)integral from n=r1 to r2...研究如下形式具有随机周期移民扰动的非线性种群发展方程的非局部柯西问题,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0<r<rm,t0p(r,0)=p0(r)+g(p(r,t0)),T>t0>0 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr这里,其他地区的种群迁入项f以及非局部条件项g为紧算子,且f是时间变量t的周期为T的周期函数.利用Shesfer不动点定理,可以证明上述柯西问题随机周期积分解的存在性.这篇论文的结果推广了前人的工作.展开更多
In this paper, the network equation for the slow neutron capture process （s-process） of heavy element nucleosynthesis is investigated. Dividing the s-process network reaction chains into two standard forms and using...In this paper, the network equation for the slow neutron capture process （s-process） of heavy element nucleosynthesis is investigated. Dividing the s-process network reaction chains into two standard forms and using the technique of matrix decomposition, a group of analytical solutions for the network equation are obtained. With the analytical solutions, a calculation for heavy element abundance of the solar system is carried out and the results are in good agreement with the astrophysical measurements.展开更多
文摘研究如下形式具有随机周期移民扰动的非线性种群发展方程的非局部柯西问题,{(p(r,t))/(t)+(p(r,t))/(r)=-μ(r)p(r,t)+f(t,p(r,t)),0<r<rm,t0p(r,0)=p0(r)+g(p(r,t0)),T>t0>0 p(0,t)=β(t)integral from n=r1 to r2 k(r)h(r)p(r,t)dr这里,其他地区的种群迁入项f以及非局部条件项g为紧算子,且f是时间变量t的周期为T的周期函数.利用Shesfer不动点定理,可以证明上述柯西问题随机周期积分解的存在性.这篇论文的结果推广了前人的工作.
基金supported by the National Natural Science Foundation of China (Grant No 10447141)the Youth Foundation of Beijing University of Chemical Technology,China (Grant No QN0622)
文摘In this paper, the network equation for the slow neutron capture process （s-process） of heavy element nucleosynthesis is investigated. Dividing the s-process network reaction chains into two standard forms and using the technique of matrix decomposition, a group of analytical solutions for the network equation are obtained. With the analytical solutions, a calculation for heavy element abundance of the solar system is carried out and the results are in good agreement with the astrophysical measurements.
