Existence of solutions for damped elastic systems in Banach spaces

被引：0
作者：
Haide Gou
Yongxiang Li
机构：
[1] Northwest Normal University,Department of Mathematics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Damped elastic systems; Mild solution; Equicontinuous semigroup; Existence of solutions; 26A33; 34K37; 34A08; 34A37;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this article, we study the existence of mild solutions for damped elastic systems in Banach spaces. The discussion is based on the operator semigroup theory and fixed point theorem. In addition, two examples are given to illustrate our results.
引用
收藏
相关论文
共 41 条
  • [11] Liu Z.(2014)Existence of mild solutions for the elastic systems with structural damping in Banach spaces J. Math. Anal. Appl. 410 74-80
  • [12] Huang F.L.(2014)Analyticity and exponential stability of semigroup for elastic systems with structural damping in Banach spaces Electron. J. Differ. Equ. 2014 55-67
  • [13] Liu K.S.(2017)Asymptotic stability of solutions to elastic systems with structural damping Appl. Math. Lett. 71 214-226
  • [14] Huang F.L.(2018)Well-posedness for some damped elastic systems in Banach spaces Appl. Anal. 50 794-803
  • [15] Huang Y.Z.(2017)Exponential decay for elastic systems with structural damping and infinite delay Vestn. St. Petersbg. Univ., Math. 14 1975-1992
  • [16] Guo F.M.(2017)Decay mild solutions for elastic systems with structural damping involving nonlocal conditions Mediterr. J. Math. 73 1089-1094
  • [17] Fan H.(2017)Approximation technique for fractional evolution equations with nonlocal integral conditions Comput. Math. Appl. 17 1351-1371
  • [18] Li Y.(2018)Study on fractional non-autonomous evolution equations with delay Commun. Pure Appl. Anal. 48 undefined-undefined
  • [19] Chen P.(2018)A blow up alternative result for fractional nonautonomous evolution equation of Volterra type J. Pseudo-Differ. Oper. Appl. 7 undefined-undefined
  • [20] Fan H.(2005)Fractional non-autonomous evolution equation with nonlocal conditions Acta Math. Sin. undefined undefined-undefined
12345