Well-posedness of delay parabolic difference equations

Advances in Difference Equations

Allaberen Ashyralyev¹  Deniz Agirseven² 

[1] Department of Mathematics, Fatih University, Istanbul, Turkey;Department of Mathematics, ITTU, Ashgabat, Turkmenistan

关键词: well-posedness;    delay parabolic equations;    fractional spaces;    coercive stability;   

DOI  :  10.1186/1687-1847-2014-18

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The well-posedness of difference schemes of the initial value problem for delay differential equations with unbounded operators acting on delay terms in an arbitrary Banach space is studied. Theorems on the well-posedness of these difference schemes in fractional spaces are proved. In practice, the coercive stability estimates in Hölder norms for the solutions of difference schemes of the mixed problems for delay parabolic equations are obtained.

【 授权许可】

CC BY