Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation

Title:

Distributional derivatives of functions of two variables of finite variation and their application to an impulsive hyperbolic equation

Creator:

Idczak, Dariusz

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:3b9a41aa-fec6-43f5-ba30-f8a9e2694a76
uuid:3b9a41aa-fec6-43f5-ba30-f8a9e2694a76

Subject:

math, distributional derivatives, and hyperbolic equations

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

We give characterizations of the distributional derivatives $D^{1,1}$, $D^{1,0}$, $D^{0,1}$ of functions of two variables of locally finite variation. Then we use these results to prove the existence theorem for the hyperbolic equation with a nonhomogeneous term containing the distributional derivative determined by an additive function of an interval of finite variation. An application of the above theorem to a hyperbolic equation with an impulse effect is also given.

Language:

English

Rights:

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

Coverage:

145-171

Source:

Czechoslovak Mathematical Journal | 1998 Volume:48 | Number:1

Harvested from:

CDK

Metadata only:

false