Approximation of nonlinear infinite delay equations in Banach spaces by finite delay equations

被引：0
作者：
G Divyabharathi
T Sengadir
机构：
[1] Cental University of Tamil Nadu,Department of Mathematics
来源：
Proceedings - Mathematical Sciences | 2022年 / 132卷
关键词：
Infinite delay; Fréchet space; semigroup; finite delay approximation; 34K30; 34K28; 47H20;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we show that the solution of an infinite delay equations in a Banach space given by non-linear semigroups in Fréchet spaces can be approximated by finite delay equations.
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  • [1] Ball JM(1977)Strongly continuous semigroups, weak solutions and the variation of constant formula Proc. Amer. Math. Soc. 63 370-373
  • [2] Caraballo T(2007)Numerical and finite delay approximations of attractors for logistic differential integral equations with infinite delay AIM’s J. 19 177-196
  • [3] Kloeden P(2012)Approximating infinite delay with finite delay Commun. Contemp. Math. 14 1-13
  • [4] Marin Rubio P(1998)The Trotter–Kato theorem and approximation of PDEs Math. Comput. 67 21-44
  • [5] Conti M(1989)Approximation of infinite delay and Volterra type equations Numer. Math. 54 405-444
  • [6] Marchini Elsa M(2012)Numerical solution of neutral differential equation with infinite delay Differ. Equ. Dyn. Syst. 20 17-34
  • [7] Pata V(2007)Discretisation of an infinite delay equation Math. Comput. 76 777-793
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