Existence of periodic solutions for totally nonlinear neutral differential equations with functional delay

• Autorzy: Yankson E.
• Języki publikacji: EN

Słowa kluczowe

EN

fixed point; large contraction; periodic solution; totally nonlinear neutral equation

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2012
• Tom: Vol. 32, no. 3
• Strony: 617--627
• Opis fizyczny: Bibliogr. 12 poz.

Twórcy

autor

Yankson E.

• University of Cape Coast, Department of Mathematics and Statistics, Ghana,

Bibliografia

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• [2] T.A. Burton, Basic neutral equations of advanced type, Nonlinear Anal. 31 (1998), 295–310.
• [3] T.A. Burton, A fixed point theorem of Krasnoselskii, App. Math. Lett. 11 (1998), 85–88.
• [4] T.A. Burton, Stability by Fixed Point Theory for Functional Differential Equations, Dover Publications, New York, 2006.
• [5] T.A. Burton, Integral equations, implicit relations and fixed points, Proc. Amer. Math.Soc. 124 (1996), 2383–2390.
• [6] K. Gopalsamy, X. He, L. Wen, On a periodic neutral logistic equation, Glasg. Math. J. 33 (1991), 281–286.
• [7] K. Gopalsamy, B.G. Zhang, On a neutral delay logistic equation, Dynam. Stability Systems 2 (1987), 183–195.
• [8] E.R. Kaufmann, A nonlinear neutral periodic differential equation, Electron. J. Differential Equations 88 (2010), 1–8.
• [9] L.Y. Kun, Periodic solution of a periodic neutral delay equation, J. Math. Anal. Appl.214 (1997), 11–21.
• [10] E.C. Pielou, Mathematical Ecology, Wiley-Interscience, New York, 1977.
• [11] Y.N. Raffoul, Periodic solutions for neutral nonlinear differential equations with functional delays, Electron. J. Differential Equations 102 (2003), 1–7.
• [12] Y.N. Raffoul, Positive periodic solutions in neutral nonlinear differential equations, Electron. J. Qual. Theory Diff. Equa. 16 (2007), 1–10.