Browsing by Author "Islam M.N."

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    Citation - Scopus: 23
    Separate Contraction and Existence of Periodic Solutions in Totally Nonlinear Delay Differential Equations
    (Hacettepe University, 2012) Adivar M.; Islam M.N.; Raffoul Y.N.
    In this study, we employ the fixed point theorem of Krasnoselskii and the concepts of separate and large contractions to show the existence of a periodic solution of a highly nonlinear delay differential equation. Also, we give a classification theorem providing sufficient conditions for an operator to be a large contraction, and hence, a separate contraction. Finally, under slightly different conditions, we obtain the existence of a positive periodic solution.