Study of periodic and nonnegative periodic solutions of nonlinear neutral functional differential equations via fixed points

[1] M. Adıvar, M. N. Islam, Y. N. Raffoul, Separate contraction and existence of periodic solution in totally nonlinear delay differential equations, Hacettepe Journal of Mathematics and Statistics, 41 (1) (2012), 1–13.10.14232/ejqtde.2009.4.1Search in Google Scholar

[2] A. Ardjouni, A. Djoudi, Existence of periodic solutions for totally non-linear neutral differential equations with variable delay, Sarajevo Journal of Mathematics, 8 (20) (2012), 107–117.Search in Google Scholar

[3] A. Ardjouni, A. Djoudi, Existence of positive periodic solutions for a nonlinear neutral differential equation with variable delay, Applied Mathematics E-Notes, 12 (2012), 94–101.Search in Google Scholar

[4] A. Ardjouni, A. Djoudi, Periodic solutions for a second-order nonlinear neutral differential equation with variable delay, Electronic Journal of Differential Equations, 2011 (128) (2011), 1–7.10.14232/ejqtde.2011.1.43Search in Google Scholar

[5] A. Ardjouni, A. Djoudi, Existence of periodic solutions for nonlinear neutral dynamic equations with variable delay on a time scale, Commun Nonlinear Sci Numer Simulat, 17 (2012), 3061–3069.10.1016/j.cnsns.2011.11.026Search in Google Scholar

[6] T. A. Burton, Integral equations, implicit functions, and fixed points, Proc. Amer. Math. Soc., 124 (8) (1996), 2383–2390.10.1090/S0002-9939-96-03533-2Search in Google Scholar

[7] Burton, T. A., Stability by fixed point theory for functional differential equations, Mineola, NY, Dover Publications, Inc., 2006.Search in Google Scholar

[8] Y. M. Dib, M. R. Maroun, Y. N. Raffoul, Periodicity and stability in neutral nonlinear differential equations with functional delay, Electronic Journal of Differential Equations, 2005 (142) (2005), 1–11.Search in Google Scholar

[9] E. R. Kaufmann, A nonlinear neutral periodic differential equation, Electron. J. Differential Equations, 88 (2010), 1–8.Search in Google Scholar

[10] Y. R. Raffoul, Periodic solutions for nonlinear neutral differential equation with functional delay, Electronic Journal of Differential Equations, 2003 (102) (2003), 1–7.Search in Google Scholar

[11] Y. R. Raffoul, Positive periodic solutions in neutral nonlinear differential equations, Electronic Journal of Qualitative Theory of Differential Equations, 2007 (16), 1–10.10.14232/ejqtde.2007.1.16Search in Google Scholar

[12] D. R. Smart, Fixed point theorems, Cambridge Tracts in Mathematics, No. 66. Cambridge University Press, London-New York, 1974.Search in Google Scholar

[13] E. Yankson, Existence and positivity of solutions for a nonlinear periodic differential equation, Archivum Mathematicum, 48 (4) (2012), 261–270.10.5817/AM2012-4-261Search in Google Scholar

[14] E. Yankson, Existence of periodic solutions for totally nonlinear neutral differential equation with functional delay, Opuscula Mathematica,32 (3) 2012.10.7494/OpMath.2012.32.3.617Search in Google Scholar

[15] E. Yankson, Positive periodic solutions for second-order neutral differential equations with functional delay, Electron. J. Differential Equations, 2012 (14) (2012), 1–6.10.14232/ejqtde.2012.1.31Search in Google Scholar