ON MULTIVALUED COSINE FAMILIES

被引：11

作者：

Piszczek, M. ^{[1
]}

机构：

[1] Pedag Univ, Inst Math, Podchorazych 2, PL-30084 Krakow, Poland

来源：

JOURNAL OF APPLIED ANALYSIS | 2007年 / 13卷 / 01期

关键词：

Riemann integral of set-valued functions; multivalued cosine families;

D O I：

10.1515/JAA.2007.57

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let K be a convex cone in a real Banach space. The main purpose of this paper is to show that for a regular cosine family {F-t : t is an element of R} of linear continuous multifunctions F-t : K -> cc(X) there exists a linear continuous multifunction H: K -> cc(K) such that Ft(x) subset of Sigma (infinity)(n=0) t(2n)/ (2n)! H-n (x).

引用

页码：57 / 76

页数：20

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