随机微分方程

Key words: biomathematics; optimal harvesting problem; stochastic differential equation; mutualism model; harvesting cost

关键 词：生物数学；最优捕获问题；随机微分方程；互惠模型；捕获费用

Then the FPK equation governing the joint probability density of amplitude and phase, the backward Kolmogorov equation governing the conditional reliability function, and the Pontryagin equation governing the mean first passage time are established, respectively.

随机微分方程。在此基础上，建立联合概率密度满足的Fokker-Planck-Kolmogorov方程、条件可靠性函数满足的后向Kolmogorov方程以及平均首次穿越时间满足的Pontryagin方程，分别求解这些方程得到联合概率密度、条件可靠性函数以及平均首次穿越时间。

Real options theory, which combines corporate finance, investment decisions and management science, deeply applys mathematical tools, such as stochastic calculus, optimal stopping times, martingale, stochastic differential equations, game theory, etc. Real options analysis overcomes the drawbacks of traditional methods, and provides a new method of investment decisions, financing policies and risk management for the corporate.

实物期权方法深入应用随机分析、最优停时、鞅、随机微分方程、博弈论等数学工具，并与金融学、投资决策和公司管理等学科相互结合，克服了传统方法的局限，为企业提供了一套投资财务战略管理和风险管理的新方法。

Real options theory, which combines corporate finance, investment decisions and management science, deeply applys mathematical tools, such as stochastic calculus, optimal stopping times, martingale, stochastic differential equations, game theory, etc.

实物期权方法深入应用随机分析、最优停时、鞅、随机微分方程、博弈论等数学工具，并与金融学、投资决策和公司管理等学科相互结合，克服了传统方法的局限，为企业提供了一套投资财务战略管理和风险管理的新方法。

Now she was hungry and angry.She began to smoulder.

现在她又饿又气，她开始流露难以抑制的怒火。

You have placed our iniquities before You, Our secret sins in the light of Your presence.

诗90：8 你将我们的罪孽摆在你面前、将我们的隐恶摆在你面光之中。