Author:
Miao Fenghua,Zhou Chenxing,Song Yueqiang
Abstract
Abstract
In this paper, we consider the following nonlinear boundary value problem:
(
φ
(
u
′
(
t
)
)
)
′
+
a
(
t
)
f
(
u
(
t
)
)
=
0
,
0
<
t
<
1
,
u
(
0
)
=
∑
i
=
1
m
−
2
α
i
u
(
ξ
i
)
,
u
′
(
1
)
=
0
, where
φ
:
R
⟶
R
is an increasing homeomorphism and positive homomorphism with
φ
(
0
)
=
0
. By using a fixed-point theorem on partially ordered sets, we obtain sufficient conditions for the existence and uniqueness of positive and nondecreasing solutions to the above boundary value problem.
MSC:34B18, 34B27.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Cited by
1 articles.
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