On Periodic Solutions of Functional Differential Equations
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Date
2011-01
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Addis Ababa University
Abstract
In This Project We Study The Existence Of Some Positive, Periodic Solutions Of Systems Of
Functional Differential Equations. In The First Topic We Introduce The Delay Differential Equations
From The Simple Ordinary Differential Equation. In The Second Topic We Apply A Cone Theoretic
Fixed Point Theorem And Determining Values For Obtains Conditions For The Existence Of
Positive Periodic Solutions Of The System Of Functional Differential Equations.
In The Third Topic We See The Existence Of Periodic Solutions For A Single Species Model.
Exponential And Logistic Growth Models Are The Most Common. But In This Topic We Would Like To
Study A Class Of Differential Equation Models For Single Species That Involve A Time Delay. In
Particular, We Are Interested To Determining The Existence Of Periodic Solutions In Periodic
Equations And In Delayed Lotka-Volterra Type Equations For Single Species.
Lastly We Mainly Concern On The Global Existence Of Periodic Solutions In Delayed Multi-Species
Models Due To Delays And/Or Periodicity. We Will Present The Global Existence Result Of Periodic
Solutions In A Class Of Delayed Autonomous Gause-Type Predator-Prey Systems. Secondly, We
Present An Existence And Uniqueness Result On Periodic Solutions In A Class Of Delayed Periodic
Systems
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On Periodic Solutions of Functional