A Part-Metric-Related Inequality Chain and Application to the Stability Analysis of Difference Equation
We find a new part-metric-related inequality of the form min{ai,1/ai:1≤i≤5}≤((1+w)a1a2a3+a4+a5)/(a1a2+a1a3+a2a3+wa4a5)≤max{ai,1/ai:1≤i≤5}, where 1≤w≤2. We then apply this result to show that c^=1 is a globally asymptotically stable equilibrium of the rationa...
Main Authors: | , , |
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Format: | Article |
Language: | English |
Published: |
SpringerOpen
2007-03-01
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Series: | Journal of Inequalities and Applications |
Online Access: | http://dx.doi.org/10.1155/2007/19618 |