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PureMathematics
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,2021,11(4),685-693
PublishedOnlineApril2021inHans.http://www.hanspub.org/journal/pm
https://doi.org/10.12677/pm.2021.114083
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ExistenceofPositiveSolutions
Semi-PositiveSecond-Order
Three-PointBoundaryValueProblems
GaofengDu
CollegeofMathematicsandStatistics,NorthwestNormalUniversity,LanzhouGansu
Email:dgf96520@163.com
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n
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,2021,11(4):685-693.
DOI:10.12677/pm.2021.114083
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Received:Mar.21
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,2021;accepted:Apr.23
rd
,2021;published:Apr.30
th
,2021
Abstract
Byusingthefixed-pointtheoremincones,weobtaintheexistenceof positive solutions
forthesemi-positivesecond-orderthree-pointboundaryvalueproblems
ω
00
(
t
)+
a
(
t
)
ω
0
(
t
)+
b
(
t
)
ω
(
t
)+
λf
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t,ω
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t
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,
ω
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,αω
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η
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ω
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where
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satisfies
0
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and
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,
(
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,
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,with
f
(
t,ω
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≥−
M
forsomepositiveconstants
M
.
Keywords
Three-PointBoundaryValueProblem,Semi-Positive,PositiveSolution,Fixed-Point
Theorem
Copyright
c
2021byauthor(s)andHansPublishersInc.
This work is licensed undertheCreative Commons Attribution International License (CCBY 4.0).
http://creativecommons.org/licenses/by/4.0/
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DOI:10.12677/pm.2021.114083690
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DOI:10.12677/pm.2021.114083691
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k
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ω
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Ä
7
‘
8
I
[
g
,
‰
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Ä
7
]
Ï
‘
8
(11961060),
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‹
Ž
g
,
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Ä
7
]
Ï
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8
(No.18JR3RA084).
ë
•
©
z
[1]
ê
X
.
š
‚
5
~
‡
©•
§
š
Û
Ü
¯
K
[M].
®
:
‰
Æ
Ñ
‡
,2004.
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Ø
ê
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Ú
p
¸
[2]Il’in,V.A.andMoiseev,E.I.(1987)NonlocalBoundaryValueProblemoftheFirstKind
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ƒ
Ÿ
8
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n
:
>
Š
¯
K
)
Ú
)
[J].
A^
ê
ÆÆ
,2007,30(2):209-217.
[11]
Ÿ
A
,
ƒ
,
o
[
.
˜
a
Œ
~
‡
©•
§
>
Š
¯
K
)
•
3
5
[J].
ì
À
Œ
ÆÆ
(
n
Æ
‡
),2019,54(10):7-12.
[12]
?
á
^
,
S
Œ
%
.
'
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Œ
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:
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5
[J].
ñ
Ü
“
‰
Œ
ÆÆ
(
g
,
‰
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‡
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2004,32(3):31-33.
[13]Guo,D.andLakshmikantham,V.(1998)NonlinearProblemsinAbstractCones.Academic
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DOI:10.12677/pm.2021.114083693
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