数学物理学报(英文版) ›› 2004, Vol. 24 ›› Issue (3): 337-348.

• 论文 • 上一篇    下一篇

PERIODIC SOLUTIONS OF LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS

马世旺,王志成,许强   

  • 出版日期:2004-07-20 发布日期:2004-07-20
  • 基金资助:

    The Project Supported by NSFC (19801014,10171065,19971026)

PERIODIC SOLUTIONS OF LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS

 MA Shi-Wang, WANG Zhi-Cheng, HU Jiang   

  1. Department of Mathematics, Shanghai Jiaotong University, Shanghai 200030, China Department of Applied Mathematics, Hunan University, Changsha 410082, China\ Department of Mathematics, Nanjing University, Nanjing 210093, China
  • Online:2004-07-20 Published:2004-07-20
  • Supported by:

    The Project Supported by NSFC (19801014,10171065,19971026)

摘要:

Consider the linear neutral FDE
d
dt
[x(t) + Ax(t −  )] = ZR
[dL(s)]x(t + s) + f(t)
where x and f are n-dimensional vectors; A is an n×n constant matrix and L(s) is an n×n
matrix function with bounded total variation. Some necessary and sufficient conditions
are given which guarantee the existence and uniqueness of periodic solutions to the above
equation.

Abstract:

Consider the linear neutral FDE
d
dt
[x(t) + Ax(t −  )] = ZR
[dL(s)]x(t + s) + f(t)
where x and f are n-dimensional vectors; A is an n×n constant matrix and L(s) is an n×n
matrix function with bounded total variation. Some necessary and sufficient conditions
are given which guarantee the existence and uniqueness of periodic solutions to the above
equation.

Key words:  Linear neutral FDE;bounded total variation, periodic solution

中图分类号: 

  • 34K15