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Well-posedness of the difference schemes of the high order of accuracy for elliptic equations

It is well known the differential equation −u″(t)+Au(t)=f(t)(−∞<t<∞) in a general Banach space E with the positive operator A is ill-posed in the Banach space C(E)=C((−∞,∞),E) of the bounded continuous functions ϕ(t) defined on the whole real line with norm ‖ϕ‖C(E)=sup⁡−∞<t<∞‖ϕ(t)‖E. In the present...

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Bibliografski detalji
Glavni autori: Allaberen Ashyralyev, Pavel E. Sobolevskiĭ
Format: Artigo
Jezik:Inglês
Izdano: Wiley 2006-01-01
Serija:Discrete Dynamics in Nature and Society
Online pristup:http://dx.doi.org/10.1155/DDNS/2006/75153
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