Abstract
Abstract
In this paper we consider sharp conditions on ω and f for the existence of $C^{1}[0,1]$
C
1
[
0
,
1
]
positive solutions to a second-order singular nonlocal problem $u''(t)+\omega (t)f(t,u(t))=0$
u
″
(
t
)
+
ω
(
t
)
f
(
t
,
u
(
t
)
)
=
0
, $u(0)=u(1)=\int _{0} ^{1}g(t)u(t)\,dt$
u
(
0
)
=
u
(
1
)
=
∫
0
1
g
(
t
)
u
(
t
)
d
t
; it turns out that this case is more difficult to handle than two point boundary value problems and needs some new ingredients in the arguments. On the technical level, we adopt the topological degree method.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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