陕西科技大学学报(自然科学版)
陝西科技大學學報(自然科學版)
협서과기대학학보(자연과학판)
JOURNAL OF SHAANXI UNIVERSITY OF SCIENCE & TECHNOLOGY
2014年
4期
164-166,171
,共4页
王玉萍%蔺小林%李美丽
王玉萍%藺小林%李美麗
왕옥평%린소림%리미려
一阶微分方程%示性方程%不动点原理%周期解
一階微分方程%示性方程%不動點原理%週期解
일계미분방정%시성방정%불동점원리%주기해
first order differential equation%characteristic equation%fixed-point theorem%pe-riodic solution
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。
利用範德矇德行列式和n次代數方程的性質以及不動點原理,對一類週期繫數的一階微分方程的週期解的存在性進行瞭研究,給齣瞭該方程的週期解存在的充分必要條件和一些新的充分性條件,同時用例子驗證瞭所得結論的正確性。
이용범덕몽덕행렬식화n차대수방정적성질이급불동점원리,대일류주기계수적일계미분방정적주기해적존재성진행료연구,급출료해방정적주기해존재적충분필요조건화일사신적충분성조건,동시용례자험증료소득결론적정학성。
By using Vander-monde determinant and properties of n algebraic and the fixed-point 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 .