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Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals

Yan, Baoqiang
; 
O'Regan, Donal
; 
Agarwal, Ravi P.
Identifiers
http://hdl.handle.net/10379/14475
 https://doi.org/10.13025/26515
Publication Date
2008-01-01
Keywords
boundary value problems, singularity, fixed point index, impulsive integrodifferential equations, half-line, banach-spaces, existence
Type
Article
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Citation
Yan, Baoqiang; O'Regan, Donal; Agarwal, Ravi P. (2008). Unbounded positive solutions for second order singular boundary value problems with derivative dependence on infinite intervals. Funkcialaj Ekvacioj 51 (1), 81-106
Abstract
The existence of at least one unbounded positive solution and the existence of multiple unbounded positive solutions are established for the singular second-order boundary value problem p(t)(-1)(p(t)x'(t))' + Phi(t)f(t,x,px') = 0, 0 < t < +infinity, x(0) = 0, lim(t ->+infinity) p(t)x'(t) = 0, using the fixed point index, where f may be singular at px' = 0.
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Publisher
Division of Functional Equations, The Mathematical Society of Japan (JST)
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (2)