STABILITY ESTIMATES FOR DELAY PARABOLIC DIFFERENTIAL AND DIFFERENCE EQUATIONS

In the present study, the well-posedness of the identification problem for delay parabolic differential equation is investigated. The stability estimates in Holder norms for the solution of this problem are established. Single-step stable difference schemes are presented. The stability estimates in difference analogue of Holder norms for the solution of these difference schemes are established.

Authors
Ashyralyev A. 1, 2, 3 , Agirseven D.4 , Agarwal R.P.5
Publisher
MINISTRY COMMUNICATIONS & HIGH TECHNOLOGIES REPUBLIC AZERBAIJAN
Number of issue
2
Language
English
Pages
175-204
Status
Published
Volume
19
Year
2020
Organizations
  • 1 Near East Univ, Dept Math, Mersin 10, Nicosia, Turkey
  • 2 Peoples Friendship Univ Russia, Ul Miklukho Maklaya 6, Moscow 117198, Russia
  • 3 Inst Math & Math Modeling, Alma Ata 050010, Kazakhstan
  • 4 Trakya Univ, Fac Sci, Dept Math, Edirne, Turkey
  • 5 Texas A&M Univ Kingsville, Dept Math, 700 Univ Blvd,MSC 172, Kingsville, TX 78363 USA
Keywords
Delay Parabolic Equation; Difference Schemes; Banach Spaces; Positive Operators; Stability Estimates; Dirichlet Condition
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