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THE STABILITY OF RDDE (?)(t)+p_1(t)x(t)+q_1(t)x(t)+p_2(t)x(t-r(t))+q_2(t)x(t-r(t))=0

THE STABILITY OF RDDE (?)(t)+p_1(t)x(t)+q_1(t)x(t)+p_2(t)x(t-r(t))+q_2(t)x(t-r(t))=0
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摘要 In this paper, the author considered the stability of zero solution of linear RDDEx(t) + p_1(t)x(t) + q_1(t)x(t)+p_2(t)x(t-r(t))+q_2(t)x(t-r(t))=0,(1)x(t) +p_1(t)x(t)+q_1(t)x(t)+q_2(t)x(t-r(t))=0 (2)using Liapunov-Razumikhin functional and transformations and obtained some sufficient condi-tions for the stability of Eqs.(1) and (2). These results are suitable both for bounded p_i(t), q_i(t)and r(t).i =1, 2. In this paper, the author considered the stability of zero solution of linear RDDEx(t) + p_1(t)x(t) + q_1(t)x(t)+p_2(t)x(t-r(t))+q_2(t)x(t-r(t))=0,(1)x(t) +p_1(t)x(t)+q_1(t)x(t)+q_2(t)x(t-r(t))=0 (2)using Liapunov-Razumikhin functional and transformations and obtained some sufficient condi-tions for the stability of Eqs.(1) and (2). These results are suitable both for bounded p_i(t), q_i(t)and r(t).i =1, 2.
作者 黄文纲
机构地区 Anhui University
出处 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1991年第3期279-283,共5页 应用数学学报(英文版)
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