SEPARATE CONTRACTION AND EXISTENCE OF PERIODIC SOLUTIONS IN TOTALLY NONLINEAR DELAY DIFFERENTIAL EQUATIONS

Yayın Aralığı: Yılda 6 Sayı
Başlangıç: 2002
Yayıncı: Hacettepe Üniversitesi Fen Fakultesi

In this study, we employ the fixed point theorem of Krasnoselskii andthe concepts of separate and large contractions to show the existenceof a periodic solution of a highly nonlinear delay differential equation.Also, we give a classification theorem providing sufficient conditions foran operator to be a large contraction, and hence, a separate contraction.Finally, under slightly different conditions, we obtain the existence ofa positive periodic solution.

Keywords:

Krasnoselskii’s fixed point theorem, Large contraction, Periodic solution Positive periodic solution, Separate contraction, Totally nonlinear delay differential equations,

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