Structure of bounded solutions for a class of abstract differential equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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.

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