Coupled coincidence point theorems for nonlinear contractions in partially ordered quasi-metric spaces with a -function.
Hussain, N., Shah, M.H., Kutbi, M.A. (2011)
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Hussain, N., Shah, M.H., Kutbi, M.A. (2011)
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Dai, Binxiang, Zou, Xingfu (2006)
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Nguyen V. Can, Vasile Berinde, Nguyen V. Luong, Nguyen X. Thuan (2013)
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Antonio Cañada, Abderrahim Zertiti (1994)
Commentationes Mathematicae Universitatis Carolinae
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In this paper we study the existence and uniqueness of positive and periodic solutions of nonlinear delay integral systems of the type which model population growth in a periodic environment when there is an interaction between two species. For the proofs, we develop an adequate method of sub-supersolutions which provides, in some cases, an iterative scheme converging to the solution.
Gabriel Lugo, Frank Palladino (2010)
Open Mathematics
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We study k th order systems of two rational difference equations . In particular, we assume non-negative parameters and non-negative initial conditions, such that the denominators are nonzero. We develop several approaches which allow us to extend well known boundedness results on the k th order rational difference equation to the setting of systems in certain cases.