| 关于大系统周期解的存在性 |
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| 引用本文： | 王慕秋,王联,吕绍明.关于大系统周期解的存在性[J].河南师范大学学报(自然科学版),1988(1). |
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| 作者姓名： | 王慕秋 王联 吕绍明 |
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| 作者单位： | 中国科学院数学研究所，中国科学院数学研究所，河南师范大学数学系 |
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| 摘 要： | 本文借助函数方法,研究系统(dx)/(dt)=A(t)x+f(t)的解的有界性,周期解的存在性与唯一性,最后并对非自治非线性复合系统(dx)/(dt)=g(x,t)解的有界性进行了研究.
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| 关 键 词： | 一致最终有界 雅可比矩阵 非自治非线性复合系统 |
THE EXISTANCE OF A PERIODIC SOLUTION ON LARGE-SCALE SYSTFNS |
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| Wang Muqiu Wang Lian Lu Shaoming.THE EXISTANCE OF A PERIODIC SOLUTION ON LARGE-SCALE SYSTFNS[J].Journal of Henan Normal University(Natural Science),1988(1). |
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| Authors: | Wang Muqiu Wang Lian Lu Shaoming |
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| Institution: | Wang Muqiu Wang Lian Lu Shaoming
(Institute of Mathematics. Academia Sinica) (Henan Normal University) |
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| Abstract: | This paper aims to establish sufficient condition of boundedness of solution and existence uniquess of periodic solution with period w of ?? using the Lyapunov functions analytic method. Subsequently, we consider boundedness of solutions composile systems represented by nonlinear nonautonomous ardinary differential equation s (dx)/(dt)=g(x,t) |
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| Keywords: | uniform-ultimately bounded Jacobi matvix nonlinear nonau tonomouo composile syslems |
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