α-次积分半群的Trotter-Kato定理与完全二阶Cauchy问题(英文)  

Trotter-Kato Theorems for an α-times Integrated Semigroups and the Complete Second Order Cauchy Problem

作　　者：郎开禄[1] 杨光俊[2] 

机构地区：[1]楚雄师专数学系,云南楚雄675000 [2]云南大学数学系,云南昆明650091

出　　处：《云南大学学报（自然科学版）》2000年第5期321-324,共4页Journal of Yunnan University(Natural Sciences Edition)

基　　金：ProjectsupportedbytheNationalNaturalScienceFoundationofChina(GrantNo 1 9761 0 0 4)

摘　　要：应用α -次积分半群的Trotter-Kato定理讨论Banach空间中完全二阶Cauchy问题 ,当 (A ,B)双闭时获得u″(t) -Bu′(t) -Au(t) =0 ,u( 0 ) =x ,u′( 0 ) =y的解 .Apply Trotter-Kato theorems for an α-times integrated semigroups to the complete second order Cauchy problem,the solutions of equation of the from u″(t)-Bu′(t)-Au(t)=0,u(0)=x,u′(0)=y in a Banach spaces is given,where ( A,B ) be biclosed.

关 键 词：α-一次积分半群 完全二阶 CAUCHY问题 

分 类 号：O152.7[理学—数学]