| 一阶微分方程周期边值问题最优正解的存在性 |
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| 引用本文： | 林晓宁.一阶微分方程周期边值问题最优正解的存在性[J].东北师大学报(自然科学版),2005,37(1):7-10. |
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| 作者姓名： | 林晓宁 |
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| 作者单位： | 东北师范大学商学院,吉林,长春,130024;东北师范大学数学与统计学院,吉林,长春,130024 |
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| 摘 要： | 利用更一般的锥不动点定理及格林函数的正性,给出了一类一阶微分方程周期边值问题(u)(t) a(t)u(t)=f(t,u(t)),u(0)=u(T)新的最优正解的存在性条件及多重正解存在性条件.
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| 关 键 词： | 最优正解 锥不动点定理 周期边值问题 |
| 文章编号： | 1000-1832(2005)01-0007-04 |
The optimal existence theory of periodic boundary value problems for a first order differential equation |
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| LIN Xiao-ning.The optimal existence theory of periodic boundary value problems for a first order differential equation[J].Journal of Northeast Normal University (Natural Science Edition),2005,37(1):7-10. |
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| Authors: | LIN Xiao-ning |
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| Abstract: | It is to be established the new existence of single and multiple positive solutions of periodic boundary value problems for a first order differential equation in this paper.The arguments involve the positivity propersitis of Green's function and a fixed-point theorem in cones. |
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| Keywords: | optimal existence of positive solutions fixed point theorem in cones periodic boundary value problem |
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