yang-globalbehavior-2010.pdf (1.86 MB)
Global behavior of two families of nonlinear symmetric difference equations
We mainly investigate the global asymptotic stability and exponential convergence of positive solutions to two families of higher-order difference equations, one of which was recently studied in Stević's paper (2010). A new concise proof is given to a quite recent result by Stević and analogous parallel result of the other inverse equation, which extend related results of Aloqeili (2009), Berenhaut and Stević (2007), and Liao et al. (2009).
History
Journal
Discrete dynamics in nature and societyVolume
2010Article number
367492Pagination
1 - 15Publisher
Hindawi Publishing CorporationLocation
Cairo, EgyptPublisher DOI
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1026-0226eISSN
1607-887XLanguage
engPublication classification
C1.1 Refereed article in a scholarly journalCopyright notice
2010, Wanping Liu et al.Usage metrics
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global asymptotic stabilityexponential convergencepositive solutionshigher-order difference equationsanalogous parallel resultinverse equationScience & TechnologyPhysical SciencesMathematics, Interdisciplinary ApplicationsMultidisciplinary SciencesMathematicsScience & Technology - Other TopicsASYMPTOTIC STABILITYBOUNDEDNESS CHARACTERNONTRIVIAL SOLUTIONSATTRACTIVITY
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