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On Limit Periodicity of the Solutions of Some Volterra Systems

✍ Scribed by V. B. Kolmanovskii


Book ID
110288655
Publisher
SP MAIK Nauka/Interperiodica
Year
2001
Tongue
English
Weight
96 KB
Volume
62
Category
Article
ISSN
0005-1179

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📜 SIMILAR VOLUMES


Limiting periodicity of the solutions fo
✍ V.B. Kolmanovskii 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 138 KB

Conditions of the limiting of periodicity of the solutions for some Volterra di erence equations are derived. These conditions are formulated immediately in terms of the coe cients of equations and their resolvent, using the second Liapunov method and ÿxed point theorem.

Periodic Solutions of Periodic Delay Lot
✍ Yongkun Li; Yang Kuang 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 136 KB

By using the continuation theorem of coincidence degree theory, sufficient and realistic conditions are obtained for the existence of positive periodic solutions for both periodic Lotka᎐Volterra equations and systems with distributed or statedependent delays. Our results substantially extend and imp

Periodic solutions of competition Lotka–
✍ Liang Zhang; Hong-Xu Li; Xiao-Bing Zhang 📂 Article 📅 2009 🏛 Elsevier Science 🌐 English ⚖ 605 KB

In this paper, we rigorously establish an existence theorem of periodic solutions for the competition of Lotka-Volterra dynamic systems with a time delay and diffusion on time scales. It is shown that the existence of periodic solutions depend on the parameters of the model. It is also shown that a