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Global Attractivity and ‘Level-Crossings’ in a Periodic Logistic Integrodifferential Equation

✍ Scribed by K. Gopalsamy; Xue-Zhong He; Lizhi Wen


Publisher
John Wiley and Sons
Year
1992
Tongue
English
Weight
700 KB
Volume
156
Category
Article
ISSN
0025-584X

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✦ Synopsis


Abstract

Sufficient conditions are obtained for the existence of a globally attracting positive periodic solution of the logistic integrodifferential equation where a, b are continuous positive periodic functions and K is a nonnegative integrable function defined on {0, ∞). We also derive sufficient conditions for all positive solutions to have “level crossings” about the unique positive periodic solution.


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Global attractivity in a nonlinear secon
✍ V. L. Kocic; G. Ladas 📂 Article 📅 1995 🏛 John Wiley and Sons 🌐 English ⚖ 254 KB

In this paper we obtain a global attractivity result for the positive equilibrium of a nonlinear second-order difference equation of the form X n + l = f ( x , , x , -l ) ,