Li Li. The Boundedness and Asymptotic Behavior of Solutions of Differential System of Second-Order with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1982, 3(4): 497-504.
Citation:
Li Li. The Boundedness and Asymptotic Behavior of Solutions of Differential System of Second-Order with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1982, 3(4): 497-504.
Li Li. The Boundedness and Asymptotic Behavior of Solutions of Differential System of Second-Order with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1982, 3(4): 497-504.
Citation:
Li Li. The Boundedness and Asymptotic Behavior of Solutions of Differential System of Second-Order with Variable Coefficients[J]. Applied Mathematics and Mechanics, 1982, 3(4): 497-504.
In this paper, the differential system of second-order with variable coefficients is studied, and some criteria of the boundedness and asymptotic behavior for solutions are given.Consider a system of differential equations (0.1) Now we study the boundedness and asymptotic behavior of its solutions. In the case of Pif(t) being periodic functions, it was investigated by Burdina; in the case of Pif(t) being arbitrary functions, it has not been investigated yet. Besides, the method used by Burdina is only appropriate for the former but not for the latter case. In this paper we shall give a method which is appropriate for both cases.
Бурдика,В,N.,Критерий ограниченностм решений системы диффсрецинлъных уравнения 2-го порядка с периодическими коеффиуенмами.ДАН.СССР,новая серия,(1953)Том ХС No3
[2]
Borg G.,On a Liapouaoff criterioa of stability,Amer,Journ,of Math,71,(1949)
[3]
Сонсоне(Sапsопе.G),Обыкноэенные бцфференццалъные ураененця Том Ⅱ,(1954)
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