With the development of maritime English teaching, there is a greater demand of high quality maritime English textbooks. This is a reflection of the diversification of new generation maritime English textbooks. But it...With the development of maritime English teaching, there is a greater demand of high quality maritime English textbooks. This is a reflection of the diversification of new generation maritime English textbooks. But it also brings forth the principles for the textbook compilation. Maritime English textbook construction should adhere to the principle of the cultivation in students＇ listening, speaking, reading, writing and translation and incorporate the linguistic theories, teaching concepts and the understanding of classroom teaching and students＇ learning, so that the students will continue to improve their English levels in the process of learning the special knowledge. Therefore, the problem we faced with is to make the scientific and rational principles and compile textbooks that suit the practice of maritime English teaching and learning.展开更多
This paper discusses mean-field backward stochastic differentiM equations （mean-field BS- DEs） with jumps and a new type of controlled mean-field BSDEs with jumps, namely mean-field BSDEs with jumps strongly coupled...This paper discusses mean-field backward stochastic differentiM equations （mean-field BS- DEs） with jumps and a new type of controlled mean-field BSDEs with jumps, namely mean-field BSDEs with jumps strongly coupled with the value function of the associated control problem. The authors first prove the existence and the uniqueness as well as a comparison theorem for the above two types of BSDEs. For this the authors use an approximation method. Then, with the help of the notion of stochastic backward semigroups introduced by Peng in 1997, the authors get the dynamic programming principle （DPP） for the value functions. Furthermore, the authors prove that the value function is a viscosity solution of the associated nonlocal Hamilton-Jacobi-Bellman （HJB） integro-partial differential equation, which is unique in an adequate space of continuous functions introduced by Barles, et al. in 1997.展开更多
The authors prove a sufficient stochastic maximum principle for the optimal control of a forward-backward Markov regime switching jump diffusion system and show its connection to dynamic programming principle. The res...The authors prove a sufficient stochastic maximum principle for the optimal control of a forward-backward Markov regime switching jump diffusion system and show its connection to dynamic programming principle. The result is applied to a cash flow valuation problem with terminal wealth constraint in a financial market. An explicit optimal strategy is obtained in this example.展开更多
文摘With the development of maritime English teaching, there is a greater demand of high quality maritime English textbooks. This is a reflection of the diversification of new generation maritime English textbooks. But it also brings forth the principles for the textbook compilation. Maritime English textbook construction should adhere to the principle of the cultivation in students＇ listening, speaking, reading, writing and translation and incorporate the linguistic theories, teaching concepts and the understanding of classroom teaching and students＇ learning, so that the students will continue to improve their English levels in the process of learning the special knowledge. Therefore, the problem we faced with is to make the scientific and rational principles and compile textbooks that suit the practice of maritime English teaching and learning.
基金supported by the National Natural Science Foundation of China under Grant Nos.11171187,11222110Shandong Province under Grant No.JQ201202+1 种基金Program for New Century Excellent Talents in University under Grant No.NCET-12-0331111 Project under Grant No.B12023
文摘This paper discusses mean-field backward stochastic differentiM equations （mean-field BS- DEs） with jumps and a new type of controlled mean-field BSDEs with jumps, namely mean-field BSDEs with jumps strongly coupled with the value function of the associated control problem. The authors first prove the existence and the uniqueness as well as a comparison theorem for the above two types of BSDEs. For this the authors use an approximation method. Then, with the help of the notion of stochastic backward semigroups introduced by Peng in 1997, the authors get the dynamic programming principle （DPP） for the value functions. Furthermore, the authors prove that the value function is a viscosity solution of the associated nonlocal Hamilton-Jacobi-Bellman （HJB） integro-partial differential equation, which is unique in an adequate space of continuous functions introduced by Barles, et al. in 1997.
基金supported by the National Natural Science Foundation of China(No.61573217)the 111 Project(No.B12023)the National High-level Personnel of Special Support Program and the Chang Jiang Scholar Program of the Ministry of Education of China
文摘The authors prove a sufficient stochastic maximum principle for the optimal control of a forward-backward Markov regime switching jump diffusion system and show its connection to dynamic programming principle. The result is applied to a cash flow valuation problem with terminal wealth constraint in a financial market. An explicit optimal strategy is obtained in this example.
