Well-posedness of delay parabolic difference equations

作者：Ashyralyev Allaberen^*; Agirseven Deniz

来源：Advances in Difference Equations, 2014, 2014(1): 18.

DOI：10.1186/1687-1847-2014-18

• well-posedness
• delay parabolic equations
• fractional spaces
• coercive stability

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.

• 出版日期2014-1-16