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：
研究Banaeh空间中的四阶非线性常微分方程两点边值问题正解的存在性，其中a：[0，1]→R,f：[0，1]×E→E连续。通过构造一个特殊的锥，在相应线性微分方程第一特征值的相关条件下，运用凝聚映射的锥拉伸与锥压缩不动点定理，获得该问题正解的存在性与多重性结果。利用新的非紧性测度估计技巧，删去了非线性项f一致连续的要求，即使在特殊的纯量空间中讨论，所得到的结果也是新的。
英文摘要：
Consider the existence of positive solutions to the fourth-order two-point bounda~ value problem where a ： [ 0, 1 ] →R,f： [ 0, 1 ] x E→E are continuous. Under the certain conclusions on the first eigenvalue of the relevant linear differential equation, the existence and multiplicity results of positive solutions are obtained by con- structing a special cone and using the Krasnoselskii fixed point theorem of condensing mapping. By introducing a new estimation technique on non-compact measure, assumption that uniform continuity of the nonlinear termf is de- leted. The obtained results are still new even if in special scalar space.
同期刊论文项目
同项目期刊论文
Monotone iterative technique for a class of semilinear evolution equations with nonlocal conditions,
Positive solutions for Neumann boundary value problems of second-order impulsive differential equati
Positive periodic solutions for second-order ordinary differential equations with derivative terms a
Nonlocal problem for fractional evolution equations of mixed type with the measure of noncompactness
Non-Constant Positive Steady States for a Predator-Prey Cross-Diffusion Model with Beddington-DeAnge
Existence of positive periodic solutions for higher-order ordinary differential equations, 62 (2011)
Mixed monotone iterative technique for a class of semilinear impulsive evolution equations in Banach
Existence and exponential stability of almost periodic solution for BAM neural networks with impulse
Existence of strong solutions for a class of semilinear evolution equations with nonlocal initial co
On the existence of positive periodic solutions for second-order functional differential equations w
Monotone Iterative Technique for the Initial Value Problems of Impulsive Evolution Equationsin Order
Positive solutions for Neumann boundary value problems of nonlinear second-order integro-differentia
Global Behavior for a Diffusive Predator-Prey Model with Stage Structure and Nonlinear Density Restr
期刊信息
位置：