摘要
利用范德蒙德行列式和n次代数方程的性质以及不动点原理,对一类周期系数的一阶微分方程的周期解的存在性进行了研究,给出了该方程的周期解存在的充分必要条件和一些新的充分性条件,同时用例子验证了所得结论的正确性.
By using Vander-monde determinant and properties of n algebraic and the fixedpoint theorem, the existence of periodic solutions of first order differential equation with a class of periodic coefficients were studied. The necessary and sufficient condition and some new sufficient conditions for the existence of periodic solutions of the equation were given. Finally some examples were used to verify the correctness of the conclusion.
出处
《陕西科技大学学报（自然科学版）》
2014年第4期164-166,171,共4页
Journal of Shaanxi University of Science & Technology
基金
国家自然科学基金项目(11371087)
上海市自然科学基金项目(12ZR1400100)
陕西省科技厅自然科学基础研究计划项目(2011JQ1015)
陕西科技大学博士科研启动基金项目(BJ10-23)
关键词
一阶微分方程
示性方程
不动点原理
周期解
first order differential equation
characteristic equation
fixed-point theorem
periodic solution
