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
The authors prove some global existence results for equations of Kirchhoff type, i.e., nonlinearstretched string with nonlocal terms, depending on a parameter. This general setting includes the known results on the Ki...The authors prove some global existence results for equations of Kirchhoff type, i.e., nonlinearstretched string with nonlocal terms, depending on a parameter. This general setting includes the known results on the Kirchhoff equation with small data. Moreover, the authors can also handle some cases of degeneracy, which escaped earlier methods.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 Fujian Province Natural Science Foundation Project(Grant Nos:2014J010012015J01238)+1 种基金the National Natural Science Foundation of China(Grant No.11601083)the Science and Technology Project of the Education Department of Fujian Province(Grant No.JA12060)
文摘The authors prove some global existence results for equations of Kirchhoff type, i.e., nonlinearstretched string with nonlocal terms, depending on a parameter. This general setting includes the known results on the Kirchhoff equation with small data. Moreover, the authors can also handle some cases of degeneracy, which escaped earlier methods.
