矽肺模型：解的存在唯一性和基本性质
Modelling silicosis: existence, uniqueness and basic properties of solutions
摘要：
我们根据Tran，Jones和Donaldson（1995）[9]的原始建议提出了矽肺疾病机制的模型，最近由da Costa，Drmota和Grinfeld（2020）[4]进行了修改。该模型是一个凝固-破碎-死亡型的无穷常微分方程系统。证明了该初值问题解的存在性、唯一性、对初值的连续依赖性和可微性。
英文摘要：
We present a model for the silicosis disease mechanism following the original proposal by Tran, Jones, and Donaldson (1995) [9], as modified recently by da Costa, Drmota, and Grinfeld (2020) [4]. The model consists in an infinite ordinary differential equation system of coagulation-fragmentation-death type. Results of existence, uniqueness, continuous dependence on the initial data and differentiability of solutions are proved for the initial value problem.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
