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Existence of Positive Solutions to Second Order Neumann Boundary Value Problems
Received:July 04, 1997
Key Words
:
Neumann BVP
positive solutions
the fixed point theorem.
Fund Project
:
Author Name
Affiliation
JIANG Da-qing
Dept. of Math.
Northeast Northeast University
Changchun
China
LIU Hui-zhao
Dept. of Appl.Math.
Heibei University of Technology
Tianjin
China
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Abstract
:
The existence of positive solutions to second-order Neumann BVPs -u" + Mu = f(t, u), u′(0) = u′(1) = 0 and u" + Mu = f(t, u), u′(0) =u′(1) is proved by a simple application of a Fixed Point Theorem in cones due to Krasnoselskii
[1,6]
.
Citation:
DOI
:
10.3770/j.issn:1000-341X.2000.03.007
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