摘要
文章利用锥上不动点指数理论研究了带有周期边值的混合阶非线性高阶微分方程组正解的存在性,通过相应的线性问题的第一特征值和拓扑度乘积理论建立了其正解的存在性定理,给出了利用特征值刻划的较为本质的结果,且突破了以往文献要求的方程组同解和非线性项同是次线性或超线性的要求.
In this paper,by using the fixed-point index theory,we study the problem of the hybrid-order nonlinear ordinary differential systems with periodic boundary value.The existence theorem on positive solution is established by using the first eigennalue of the correspondind linear problems and theorem for product of topology degree.This paper gives a more essential result by using first eigenvalue,and do not require that the nonlinear terms are superlinear at ends（zero or infinty）and systems must have the same order.
出处
《太原师范学院学报（自然科学版）》
2010年第2期31-34,共4页
Journal of Taiyuan Normal University:Natural Science Edition
关键词
锥
拓扑度乘积
正解
cone
product of topology deree
positive solution
