Multiple Positive Solutions for Semi-positone m-point Boundary Value Problems
查看参考文献13篇
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文摘
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In this article,we establish the existence of at least two positive solutions for the semi-positone m-point boundary value problem with a parameter u″(t)+ λf(t,u)= 0,t ∈ (0,1),U′(0)=m-2 ∑ i=1 biu'(ξi).u(1)= m-2∑ i=1 aiu(ξi),where λ > 0 is a parameter,0 < ξ1 < ξ2 < ...< ξm-2 < 1 with 0 < m-2∑i=1 ai <1,m-2∑i=1 bi < 1,ai,bi ∈ [0,∞)and f(t,u)≥-M with M is a positive constant.The method employed is the Leggett-Williams fixed-point theorem.As an application,an example is given to demonstrate the main result. |
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来源
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Acta Mathematicae Applicatae Sinica-English Series
,2011,27(3):419-426 【核心库】
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DOI
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10.1007/s10255-009-6180-3
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关键词
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Multiple positive solutions
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cone
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semi-positone m-point boundary value problem
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concave functional
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parameter
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地址
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1.
School of Mathematical Science,Shanxi University, Shanxi, 030006
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Business College of Shanxi University, Shanxi, 030031
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0168-9673 |
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学科
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数学 |
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基金
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国家自然科学基金
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Science Foundation of Business College of Shanxi University
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文献收藏号
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CSCD:4218000
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参考文献 共
13
共1页
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1.
Anderson D. Three positive solutions to a discrete focal boundary value problem.
J.Comput.Appl.Math,1998,88:103-118
|
CSCD被引
2
次
|
|
|
|
|
2.
Anuradha V. Existence results for superlinear semipositone boundary-value problems.
Proc.Amer.Math.Soc,1996,124(3):757-763
|
CSCD被引
44
次
|
|
|
|
|
3.
Feng W. On a m-point nonlinear boundary value problem.
Nonlinear Analysis TMA,1997,30:5369-5374
|
CSCD被引
9
次
|
|
|
|
|
4.
Feng W. Solvability of a m-point boundary value problems with nonlinear growth.
J.Math.Anal.Appl,1997,212:467-480
|
CSCD被引
50
次
|
|
|
|
|
5.
Guo D.
Nonlinear problems in Abstract cones,1988
|
CSCD被引
140
次
|
|
|
|
|
6.
Gupta C P. A generalized multi-point boundary value problem for second order ordinary differential equations.
Appl.Math.Comput,1998,89:133-146
|
CSCD被引
25
次
|
|
|
|
|
7.
Henderson J. Multiple symmetric positive solutions for a second order boundary value problem.
Proc.Amer.Math.Soc,2000,128:2373-2379
|
CSCD被引
17
次
|
|
|
|
|
8.
Leggett R W. Multiple positive fixed points of nonlinear operaters on ordered Banach space.
Indiana.univ.Math.J,1979,28:673-688
|
CSCD被引
72
次
|
|
|
|
|
9.
Ma R. Existence theorems for a second order m-point boundary value problem.
J.Math.Anal.Appl,1997,211:545-555
|
CSCD被引
5
次
|
|
|
|
|
10.
Ma R. Existence of positive solutions for a nonlinear m-point boundary value problems.
Acta Mathematica Sinica(in Chinese),2003,46(4):785-794
|
CSCD被引
2
次
|
|
|
|
|
11.
Ma R. Positive solutions for semipositone m-point boundary-value problems.
Acta Mathematica Sinica,English Series,2004,20(2):273-282
|
CSCD被引
3
次
|
|
|
|
|
12.
Ma R. Existence of positive solutions for superlinear semipositone m-point boundary value problems.
Proc.Edinburgh Math.Soc,2003,46:279-292
|
CSCD被引
4
次
|
|
|
|
|
13.
Wei Z. Positive solutions of some singular m-point boundary value problems at non-resonance.
Appl.Math.Comput,2005,171:433-449
|
CSCD被引
2
次
|
|
|
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