| PERIODIC SOLUTIONS OF LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS |
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| 作者姓名： | 马世旺 王志成 许强 |
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| 作者单位： | 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 |
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| 摘 要： | Consider the linear neutral FDEd/dtx(t) Ax(t - r)] = R dL(s)]x(t s) f(t)where x and / are ra-dimensional vectors; A is an n x n constant matrix and L(s) is an n x 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.
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| 关 键 词： | 时滞解法 不确定线性微分积分方程 复变函数 顶集 |
PERIODIC SOLUTIONS OF LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS |
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| Ma Shiwang.PERIODIC SOLUTIONS OF LINEAR NEUTRAL INTEGRO-DIFFERENTIAL EQUATIONS[J].Acta Mathematica Scientia,2004,24(3):337-348. |
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| Authors: | Ma Shiwang |
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| Institution: | Ma Shiwang Department of Mathematics,Shanghai Jiaotong University,Shanghai 200030,China
Wang Zhicheng Department of Applied Mathematics,Hunan University,Changsha 410082,China
Xu Qiang Department of Mathematics,Nanjing University,Nanjing 210093,China |
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| Abstract: | Consider the linear neutral FDEd/dtx(t) Ax(t -7)] =∫RdL(8)]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. |
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| Keywords: | Linear neutral FDE bounded total variation periodic solution |
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