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Zbl 1201.39003
El-Shahed, Moustafa; Hassan, H.A.
Positive solutions of $q$-difference equation.
(English)
[J] Proc. Am. Math. Soc. 138, No. 5, 1733-1738 (2010). ISSN 0002-9939; ISSN 1088-6826/e

Authors' abstract: We investigate the existence of positive solutions of the $ q$-difference equation $ -D_q^2u(t)=a(t) f(u(t))$ with some boundary conditions by applying a fixed point theorem in cones.
[Miloš Čanak (Beograd)]
MSC 2000:
*39A13 Difference equations, scaling ($q$-differences)
39A12 Discrete version of topics in analysis
34B18 Positive solutions of nonlinear boundary value problems
34B27 Green functions
39A22

Keywords: boundary-value problem; Krasnoselskii's fixed point theorem; Green's function; $q$-difference equation; positive solution; cones

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