Periodic Solutions for a Class of Forced Lienard-type Equations  

作　　者：Bing-wenLiu Li-hongHuang 

机构地区：[1]DepartmentofMathematics,HunanUniversityofArtsandScience,Changde,Hunan415000,China [2]CollegeofMathematicsandEconometrics.HunanUniversity,Changsha410082,China

出　　处：《Acta Mathematicae Applicatae Sinica》2005年第1期81-92,共12页应用数学学报（英文版）

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).

摘　　要：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.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.

关 键 词：lienard-type equation periodic solutions topological degree 

分 类 号：O151.26[理学—数学] O241.6[理学—基础数学]