节点文献
EXISTENCE OF THE VALUE FOR A DIFFERENTIAL GAME WITH SWITCHING STRATEGIES IN A BANACH SPACE
【摘要】 <正> A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions.
【Abstract】 A two-player zero-sum differential game in some Banach space is studied.Positiveswitching costs are associated with each player.By regularizing the game and combining thenotion of viscosity solutions for Isaacs-Bellman equation,we obtain the existence of the Elliot-Kalton value of the game under suitable conditions.
【关键词】 Differential games；
switching strategies；
value function；
Isaacs-Bellman equation；
viscosity solution；
distributed parameter systems；
【Key words】 Differential games； switching strategies； value function； Isaacs-Bellman equation； viscosity solution； distributed parameter systems；
【Key words】 Differential games； switching strategies； value function； Isaacs-Bellman equation； viscosity solution； distributed parameter systems；
【基金】 This work was partially supported by the National Natural Science Foundation of China under Grant 0188416
- 【文献出处】 Systems Science and Mathematical Sciences ,系统科学与数学(英文版) , 编辑部邮箱 ,1991年04期
- 【被引频次】1
- 【下载频次】18