On the Volterra integral equation with weakly singular kernel

Title:

On the Volterra integral equation with weakly singular kernel

Creator:

Szufla, Stanisław

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:c54bd436-3daf-4782-b5d6-34b04322eaca
uuid:c54bd436-3daf-4782-b5d6-34b04322eaca
doi:10.21136/MB.2006.134139

Subject:

integral equation, integrable solution, and measure of noncompactness

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We give sufficient conditions for the existence of at least one integrable solution of equation x(t) = f(t) + ∫ t 0 K(t, s)g(s, x(s)) ds. Our assumptions and proofs are expressed in terms of measures of noncompactness.

Language:

English

Rights:

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

Coverage:

225-231

Source:

Mathematica bohemica | 2006 Volume:131 | Number:3

Harvested from:

CDK

Metadata only:

false