Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

Title:

Optimal conditions for unique solvability of the Cauchy problem for first order linear functional differential equations

Creator:

Bravyi, E,, Hakl, Robert, and Lomtatidze, Alexander

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:18eb42fb-fe37-418d-822c-8be153d9eb6f
uuid:18eb42fb-fe37-418d-822c-8be153d9eb6f

Subject:

linear functional differential equations, Cauchy problem, existence and uniqueness, and differential inequalities

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

Nonimprovable, in a sense sufficient conditions guaranteeing the unique solvability of the problem \[ u^{\prime }(t)=\ell (u)(t)+q(t), \qquad u(a)=c, \] where $\ell \:C(I,\mathbb R)\rightarrow L(I,\mathbb R)$ is a linear bounded operator, $q\in L(I,\mathbb R)$, and $c\in \mathbb R$, are established.

Language:

English

Rights:

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

Coverage:

513-520

Source:

Czechoslovak Mathematical Journal | 2002 Volume:52 | Number:3

Harvested from:

CDK

Metadata only:

false