Positive Solutions for (k,n−k) Conjugate Multipoint Boundary Value Problems in Banach Spaces

YulinZhao

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Positive Solutions for (k,n−k) Conjugate Multipoint Boundary Value Problems in Banach Spaces

机译：Banach空间中（k，n-k）共轭多点边值问题的正解

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By means of the fixed point index theory of strict-set contraction operator, we study the existence of positive solutions for the multipoint singular boundary value problem(-1)n-kun(t)=f(t,ut),0<t<1,n≥2,1≤k≤n-1,u(0)=∑i=1m-2‍aiu(ξi),u(i)(0)=u(j)(1)=θ,1≤i≤k−1,0≤j≤n−k−1in a real Banach spaceE, whereθis the zero element ofE,0<ξ1<ξ2<⋯<ξm-2<1,ai∈[0,+∞),i=1,2,…,m-2.As an application, we give two examples to demonstrate our results.

机译：利用严格集紧算子的不动点索引理论，研究了多点奇异边值问题（-1）n-kun（t）= f（t，ut），0

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《International journal of mathematics and mathematical sciences》 |2012年第8期|共18页
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YulinZhao;
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1. Positive solutions for (k,n - K) conjugate multipoint boundary value problems in Banach spaces [J] . Zhao Y. International journal of mathematics and mathematical sciences . 2012,第11期

机译：Banach空间中（k，n-K）共轭多点边值问题的正解
2. Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces [J] . Xingqiu Zhang Boundary value problems . 2009,第1期

机译：Banach空间中无穷区间上非线性二阶微分方程组奇异多点边值问题的正解
3. Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces [J] . YulinZhao, LiHuang, XuebinWang, Abstract and applied analysis . 2012,第6期

机译：Banach空间中带多点边值问题的分数阶积分微分方程解的存在性
4. Positive Solutions of Singular Integro-differential Equations at Resonance in Banach Spaces [C] . Jianxin Cao, Haibo Chen Machine vision, image processing, and pattern analysis . 2011

机译：Banach空间中共振奇异积分-微分方程的正解
5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

机译：Banach空间，Banach格和拓扑矢量空间上有界线性算子的不变子空间问题和谱性质
6. Existence and Uniqueness of Positive Solution for Discrete Multipoint Boundary Value Problems [O] . Huili Ma, Huifang Ma 2014

机译：离散多点边值问题正解的存在性和唯一性
7. Positive Solutions of Singular Multipoint Boundary Value Problems for Systems of Nonlinear Second-Order Differential Equations on Infinite Intervals in Banach Spaces [O] . 2009

机译：Banach空间中无限级数上非线性二阶微分方程组奇异多点边值问题的正解

Positive Solutions for (k,n−k) Conjugate Multipoint Boundary Value Problems in Banach Spaces

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