Well-posedness of delay parabolic difference equations

被引：39

作者：

Ashyralyev, Allaberen ^{[1
,2
]}

Agirseven, Deniz ^{[3
]}

机构：

[1] Fatih Univ, Dept Math, TR-34500 Istanbul, Turkey

[2] ITTU, Dept Math, Ashkhabad 74400, Turkmenistan

[3] Trakya Univ, Dept Math, TR-22030 Edirne, Turkey

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2014年

关键词：

well-posedness; delay parabolic equations; fractional spaces; coercive stability; NUMERICAL-METHODS; STABILITY; OPERATORS; CONSTANT;

D O I：

10.1186/1687-1847-2014-18

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 Holder norms for the solutions of difference schemes of the mixed problems for delay parabolic equations are obtained.

引用

页数：20

共 34 条

[1] Approximate Solutions of Delay Parabolic Equations with the Dirichlet Condition [J].