By applying the topological degree theory, we establish some sufficientconditions for the existence on T-periodic solutions for the Liénard-type equation x' + Σ from i=1to n of h_i(x)|x'|^(2α_i) + f_1(x...By applying the topological degree theory, we establish some sufficientconditions for the existence on T-periodic solutions for the Liénard-type equation x' + Σ from i=1to n of h_i(x)|x'|^(2α_i) + f_1(x)|x'|~2 + f_2(x)x' + g(t,x) = p(t). Our results extend andimprove some known results in the literature.展开更多
基金Supported by the National Natural Science Foundation of China (No. 10371034)the Doctor Program Foundation of the Ministry of Education of China (20010532002)Key Object of Chinese Ministry of Education ([2002] 78).
文摘By applying the topological degree theory, we establish some sufficientconditions for the existence on T-periodic solutions for the Liénard-type equation x' + Σ from i=1to n of h_i(x)|x'|^(2α_i) + f_1(x)|x'|~2 + f_2(x)x' + g(t,x) = p(t). Our results extend andimprove some known results in the literature.
