On well-posedness of the nonlocal boundary value problem for parabolic difference equations

A. Ashyralyev, I. Karatay and P. E. Sobolevskii

Discrete Dynamics in Nature and Society, 2004, vol. 2004, 1-14

Abstract:

We consider the nonlocal boundary value problem for difference equations ( u k − u k − 1 ) / τ + A u k = φ k , 1 ≤ k ≤ N , N τ = 1 , and u 0 = u [ λ / τ ] + φ , 0 < λ ≤ 1 , in an arbitrary Banach space E with the strongly positive operator A . The well-posedness of this nonlocal boundary value problem for difference equations in various Banach spaces is studied. In applications, the stability and coercive stability estimates in Hölder norms for the solutions of the difference scheme of the mixed-type boundary value problems for the parabolic equations are obtained. Some results of numerical experiments are given.

Date: 2004
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/DDNS/2004/725979.pdf (application/pdf)
http://downloads.hindawi.com/journals/DDNS/2004/725979.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:725979

DOI: 10.1155/S1026022604403033

Access Statistics for this article

More articles in Discrete Dynamics in Nature and Society from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().