Positive solutions for singular semi-positone Neumann boundary-value problems
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Date
2004-11-16
Authors
Sun, Yong-Ping
Sun, Yan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In this paper, we study the singular semi-positone Neumann boundary-value problem
-u'' + m2u = λƒ(t, u) + g(t, u), 0 < t < 1,
u'(0) = u'(1) = 0,
where m is a positive constant. Under some suitable assumptions on the functions ƒ and g, for sufficiently small λ, we prove the existence of a positive solution. Our approach is based on the Krasnasel'skii fixed point theorem in cones.
Description
Keywords
Positive solutions, Semi-positone, Fixed points, Cone, Singular Neumann boundary-value problem
Citation
Sun, Y. P., & Sun, Y. (2004). Positive solutions for singular semi-positone Neumann boundary-value problems. <i>Electronic Journal of Differential Equations, 2004</i>(133), pp. 1-8.