一类随机时变种群扩散系统解的存在性、惟一性

在假设随机的外界环境对系统产生扰动的条件下,给出Hilbert空间中一类带扩散随机时变种群发展系统.利用Burkholder-Davis-Gundy不等式,Gronwall引理和Kolmogorov不等式，讨论了该系统解的存在性和惟一性,并通过例子对所得结论进行了说明.

Existence and uniqueness of solutions to stochastic age-dependent population system with diffusion

For a population dynamics system, the influences of the stochastic external environment upon the system are not considered in ordinary age-dependent system models. When the system is perturbed by a random external environment, a class of stochastic age-dependent population dynanlics system with diffusion was proposed. The existence and uniqueness of solution to a stochastic age-dependent population dynamics system with diffusion were discussed in Hilbert space by using the Burkholder-Davis- Gundy inequality, Gronwall lemma and Klmogrorov inequality. The result was illustrated by a specific example.