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

Title:

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

Creator:

Hakl, R., Lomtatidze, A., and Půža, B.

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:008f2368-8d1d-497c-aeb4-28897fbc1df4
uuid:008f2368-8d1d-497c-aeb4-28897fbc1df4
doi:10.21136/MB.2002.133950

Subject:

linear functional differential equations, differential equations with deviating arguments, and initial value problems

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The nonimprovable sufficient conditions for the unique solvability of the problem u' (t) = l(u)(t) + q(t), u(a) = c, where l : C(I; R) → L(I; R) is a linear bounded operator, q ∈ L(I; R), c ∈ R, are established which are different from the previous results. More precisely, they are interesting especially in the case where the operator ` is not of Volterra’s type with respect to the point a.

Language:

English

Rights:

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

Coverage:

509-524

Source:

Mathematica bohemica | 2002 Volume:127 | Number:4

Harvested from:

CDK

Metadata only:

false