A note on the parabolic differential and difference equations

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ASHYRALYEV A., Sozen Y., SOBOLEVSKII P. E.

ABSTRACT AND APPLIED ANALYSIS, 2007 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2007
  • Doi Number: 10.1155/2007/61659
  • Journal Name: ABSTRACT AND APPLIED ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Hacettepe University Affiliated: No

Abstract

The differential equation u' (t) + Au(t) = f(t) (-infinity < t < infinity) in a general Banach space E with the strongly positive operator A is ill-posed in the Banach space C(E) = C(R,E) with norm parallel to phi parallel to(C(E)) = sup(-infinity