Browsing by Author "Shitiye Fikremariam"

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    On Periodic Solutions of Functional Differential Equations
    (Addis Ababa University, 2011-01) Shitiye Fikremariam; Abdi Tadesse (PhD)
    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