欢迎您！东篱公司
退出
-
申报数据库
-
立项数据库
-
成果数据库
-
项目获奖数据库
中文摘要：
非线性二阶周期边值问题可描述天体力学、工程和生物中出现的许多周期现象，其广泛的应用引起了许多学者的关注．本文主要研究二阶周期边值问题正解的存在性，其中非线性项包含一阶导数项．设非线性项满足Caratheodory条件，利用零点指数理论和分析技巧，本文建立了二阶周期边值问题正解的存在性定理，推广并改进了一些已知结果．最后给出一个例子说明主要结果．
英文摘要：
Many periodic phenomena in celestial mechanics, engineering and biology can be described as nonlinear second order periodic boundary value problems, whose wide applications have attracted much attention of researchers. We mainly discuss in this paper the existence of positive solutions to the second order periodic boundary value problem, where the nonlinear term involves with the first order derivative. We obtain the existence theorems of the positive solutions to the second order periodic boundary value problem by applying Caratheodory conditions on the nonlinear term and employing the zero point index theory and relevant analysis technique. The results extend and improve known results. Finally, an example is given to illustrate the main results.
同期刊论文项目
同项目期刊论文
Positive solutions of semi-positone nonlinear operator equations in Banach spaces with lattice struc
Nontrivial solutions for a class of fractional differential equations with integral boundary conditi
Positive solutions for fourth order singular p-Laplacian differential equations with integral bounda
Existence of positive solutions of Neumann boundary value problem via a convex functional compressio
Existence of solutions for integral boundary value problems of second order ordinary differential eq
Existence and multiplicity of positive solutions for second-order self-adjoint boundary value proble
Multiple positive solutions for first-order impulsive integrodifferential equations on the half line
Positive solutions of a th-order boundary value problem involving all derivatives via the order redu
Multiple positive solutions for first order impulsive singular integro-differential equations on the
On existence of positive solutions of coupled integral boundary value problems for a nonlinear singu
The existence and multiplicity of positive solutions for second order periodic boundary value proble
Positive solutions of a system of second order boundary value problems involving first order derivat
Positive solutions for a system of nonlinear singular Hammerstein integral equations via nonnegative
Positive solutions for three-point boundary value problems with a non-well-ordered upper and lower s
期刊信息
位置：