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一类四阶非线性微分方程概周期解的存在性
EXISTENCE OF THE ALMOST PERIODIC SOLUTIONS FOR A CLASS OF FOURTH ORDER NONLINEAR DIFFERENTIAL EQUATIONS
【摘要】 运用Leray -Schauder不动点定理和Liapunov函数方法 ,研究了一类四阶非线性微分方程的概周期解 ,给出了保证该微分方程概周期解存在的充分条件
【Abstract】 The almost periodic solutions for a class of fourth order nonlinear differential equations are studied by using the Leray-Schauder fixed point theorem and the method of Liapunov functions.We obtain the sufficient conditions which guarantee the existence of the almost periodic solutions of the differential equations.
【基金】 云南省教委应用基础研究课题!( 0 0 12 2 2 6);曲靖师范学院科研项目!( 2 0 0 0 0 6)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2001年01期
- 【分类号】O175.14
- 【被引频次】2
- 【下载频次】41