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Positive solutions of nonlocal singular boundary value problems

AGARWAL, RAVI P.
; 
O'REGAN, DONAL
; 
STANĚK, SVATOSLAV
Identifiers
http://hdl.handle.net/10379/8805
https://doi.org/10.13025/24184
Repository DOI
10.1017/s0017089504001983
Publication Date
2004-09-01
Keywords
existence theory, equations, dirichlet
Type
Article
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Citation
AGARWAL, RAVI P. O'REGAN, DONAL; STANĚK, SVATOSLAV (2004). Positive solutions of nonlocal singular boundary value problems. Glasgow Mathematical Journal 46 , 537-550
Abstract
The paper presents the existence result for positive solutions of the differential equation (g(x))" = f(t, x, (g(x))') satisfying the nonlocal boundary conditions x(0) = x(T), min{x(t) : t E J} = 0. Here the positive function f satisfies local Caratheodory conditions on [0, T] x (0, infinity) x (R\{0}) and f may be singular at the value 0 of both its phase variables. Existence results are proved by Leray-Schauder degree theory and Vitali's convergence theorem.
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Publisher
Cambridge University Press (CUP)
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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Externally hosted open access publications with University of Galway authors (1)