Linear Stieltjes integral equations in Banach spaces: II. Operator valued solutions

Title:

Linear Stieltjes integral equations in Banach spaces: II. Operator valued solutions

Creator:

Schwabik, Štefan

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:cdbf7b1c-458b-4536-aa60-061a8b536538
uuid:cdbf7b1c-458b-4536-aa60-061a8b536538
doi:10.21136/MB.2000.126273

Subject:

linear Stieltjes integral equations, generalized linear differential equation, and equation in Banach space

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

This paper is a -continuation of [9]. In [9] results concerning equations of the form x(t) = x(a) + ∫ ţa d[A(s)]x(s) + f(t) - f(a) were presented. The Kurzweil type Stieltjes integration in the setting of [6] for Banach space valued functions was used. Here we consider operator valued solutions of the homogeneous problem Ф(t) = I+ ∫td d[A(s)]Ф(s) as well as the variation-of-constants formula for the former equation.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

431-454

Source:

Mathematica bohemica | 2000 Volume:125 | Number:4

Harvested from:

CDK

Metadata only:

false