Computable Analysis of the Abstract Cauchy Problem in a Banach Space and Its Applications (I) | Zendy

Klaus Weihrauch | Zendy; Ning Zhong | Zendy

AI Assistant Blog Pricing

Home ZAIA Blog

Open Access

Computable Analysis of the Abstract Cauchy Problem in a Banach Space and Its Applications (I)

Author(s) -

Klaus Weihrauch,

Ning Zhong

Publication year - 2007

Publication title -

electronic notes in theoretical computer science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.242

H-Index - 60

ISSN - 1571-0661

DOI - 10.1016/j.entcs.2006.08.006

Subject(s) - computable analysis , computability , mathematics , banach space , computable number , pure mathematics , cauchy distribution , computable function , cauchy sequence , discrete mathematics , cauchy problem , operator (biology) , algebra over a field , representation (politics) , initial value problem , mathematical analysis , biochemistry , chemistry , repressor , transcription factor , gene , politics , political science , law

We study computability of the abstract linear Cauchy problem(1)du(t)/dt=Au(t),u(0)=x∈X, where A is a linear operator, possibly unbounded, on a Banach space X. We give necessary and sufficient conditions for A such that the solution operator K:x↦u of the problem (1) is computable. For studying computability we use the representation approach to Computable Analysis developed by Weihrauch and others. This approach is consistent with the model used by Pour-El/Richards

The content you want is available to Zendy users.

Already have an account? Click here to sign in.

Having issues? You can contact us here

Accelerating Research