首页 | 本学科首页   官方微博 | 高级检索  
     


Structure of bounded solutions for a class of abstract differential equations
Authors:Samuel Zaidman
Affiliation:(1) Present address: Department of Mathematics, Université de Montréal, Montréal, Canada
Abstract:Summary The paper is concerned with bounded solutions of an equationu′(t)=Bu(t) in Hilbert spaces, 
$$B = mathop smallint limits_{ - infty }^infty  z(theta )dE_theta  $$
. A representation formula is obtained depending on the zeros of Rez(θ).
Riassunto è studiata la struttura delle soluzioni limitate di una equazione differenzialeu′(t)=Bu(t) in uno spazio di Hilbert, ove 
$$B = mathop smallint limits_{ - infty }^infty  z(theta )dE_theta  $$
, in funzione dei zeri di Rez(θ).


This research is supported through a grant of the National Research Council Canada.
Keywords:
本文献已被 SpringerLink 等数据库收录!
设为首页 | 免责声明 | 关于勤云 | 加入收藏

Copyright©北京勤云科技发展有限公司  京ICP备09084417号