随机年龄结构固定资产系统倒向Euler法的p阶矩耗散性OACHSSCDCSTPCD
Pth Moment Dissipativity of Backward Euler Method for Stochastic Age-Dependent Capital Systems
在单边Lipschitz条件下,研究了一类随机年龄结构固定资产系统倒向Euler法数值解的p阶矩耗散性.当0<p<1时,步长满足一定条件可以得到系统的p阶矩耗散性;而p=2时,在对步长没有任何限制条件的情况下,得到了系统的均方耗散性.最后,通过数值例子验证了理论结果的可行性和有效性.
The pth moment dissipativity issue for a class of stochastic age-dependent capital systems under one-sided Lipschitz condition is discussed using the backward Euler method.The mean-square dissipativity issue is derived without any restriction on stepsize when,while for,the pth moment dissipativity is obtained under a finite stepsize condition.In the end of paper,one numerical example with simulation is presented to illustrate the effectiveness and feasibility of the derived theoretical results.
亢婷
宁夏大学 数学统计学院,宁夏 银川 750021||宁夏大学 数学基础学科研究中心,宁夏 银川 750021
数学
随机年龄结构固定资产系统p阶矩耗散性均方耗散性倒向Euler法
stochastic age-dependent capital systempth moment dissipativitymean-square dissipativitybackward Euler method
《宁夏大学学报（自然科学版）》 2024 (001)
9-15,30 / 8
国家自然科学基金资助项目(12201330,12302017);宁夏自然科学基金资助项目(2023AAC03086)
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