带跳的随机年龄相关种群方程解的存在唯一性

The Existence and Uniqueness of Solutions to SADPEs with jumps

摘要: 本文给出具有Poisson跳的随机年龄相关种群方程. 在局部非Lipschitz条件下, 证明了Hilbert空间中随机年龄相关种群方程解的存在唯一性.

Abstract: In this paper, we introduce a class of stochastic age-dependent population equations with Poisson jumps. Existence and uniqueness of energy solutions for stochastic age-dependent population dynamic system are proved under local non-Lipschitz condition in Hilbert space.