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-Raz...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.展开更多
文摘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.