Positive solutions of $q$-difference equation
Open Access
- 16 December 2009
- journal article
- Published by American Mathematical Society (AMS) in Proceedings of the American Mathematical Society
- Vol. 138 (05), 1733-1738
- https://doi.org/10.1090/s0002-9939-09-10185-5
Abstract
In this paper we investigate the existence of positive solutions of the -difference equation <!-- MATH $-D_q^2u(t)=a(t) f(u(t))$ --> with some boundary conditions by applying a fixed point theorem in cones.
Keywords
This publication has 6 references indexed in Scilit:
- q-Taylor and interpolation series for Jackson q-difference operatorsJournal of Mathematical Analysis and Applications, 2008
- On Krasnoselskii's Cone Fixed Point TheoremFixed Point Theory and Applications, 2008
- Basic Hypergeometric SeriesPublished by Cambridge University Press (CUP) ,2004
- On the Existence of Positive Solutions of Ordinary Differential EquationsProceedings of the American Mathematical Society, 1994
- Nonlinear Problems in Abstract ConesPublished by Elsevier BV ,1988
- Positive Solutions of Operator Equations.The American Mathematical Monthly, 1967