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一类含一阶导数项二阶微分边值问题单调增加正解的存在性
Existence of Increasing Positive Solutions of a Class of Second-order Differential Boundary Value Problems with First-order Derivative Term
【摘要】 应用锥拉伸-压缩不动点定理,研究了一类非线性项含一阶导数的二阶常微分方程在积分边界条件下正解的存在性,得到了单调增加正解存在的充分条件.
【Abstract】 By using the norm type cone expansion-expression fixed point theorem,the existence of increasing positive solutions is studied of a class of secondorder nonlinear ordinary differential equations with the first-order derivative term under the integral boundary conditions.A group of sufficient conditions are obtained for the existance of at least one increasing positive solutions.
【关键词】 二阶微分边值问题；
积分边界条件；
锥拉伸-压缩不动点定理；
单增正解；
【Key words】 second-order differential boundary value problem； integral boundary condition； fixed-point theorem in cones expansion-expression； increasing positive solution；
【Key words】 second-order differential boundary value problem； integral boundary condition； fixed-point theorem in cones expansion-expression； increasing positive solution；
【基金】 国家自然科学基金(11071014);河北省高等学校科学研究计划项目(Z2010208)
- 【文献出处】 河北师范大学学报(自然科学版) ,Journal of Hebei Normal University(Natural Science Edition) , 编辑部邮箱 ,2012年02期
- 【分类号】O175.8
- 【下载频次】55