Existence of Periodic Solutions for a Neutral Differential Equation with Piecewise Constant Argument

1 Cooke, K. L.; Wiener, J. Retarded differential equations with piecewise constant delays J. Math. Anal. Appl. 99 1984 265-297 MR0732717

2 Shah, S. M.; Wiener, J. Advanced differential equations with piecewise constant argument deviations Internat. J. Math. Math. Sci. 6 1983 671-703 MR0729389

3 Partheniadis, E. C. Stability and oscillation of neutral delay differential equations with piecewise constant argument Differential Integral Equations 1 1988 459-472 MR0945821

4 Aftabizadeh, A. R.; Wiener, J.; Xu, J. Oscillatory and periodic solutions of delay differential equations with piecewise constant argument Proc. Amer. Math. Soc. 99 1987 673-679 MR0877038

5 Aftabizadeh, A. R.; Wiener, J. Oscillatory and periodic solutions of an equation alternately of retarded and advanced types Appl. Anal. 23 1986 219-231 MR0870489

6 Wiener, J.; Aftabizadeh, A. R. Differential equations alternately of retarded and advanced types J. Math. Anal. Appl. 129 1988 243-255 MR0921390

7 Busenberg, S.; Cooke, L. Models of vertically transmitted diseases with sequential-continuous dynamics in "Nonlinear Phenomena in Mathematical Sciences" (V. Lakshmikantham, E.D.), Academic Press, New York 1982 179-187

8 Aftabizadeh, A. R.; Wiener, J. Oscillatory and periodic solutions for systems of two first order linear differential equations with piecewise constant argument Appl. Anal. 26 1988 327-333 MR0922978

9 Cooke, K. L.; Wiener, J. An equation alternately of retarded and advanced type Proc. Amer. Math. Soc. 99 1987 726-732 MR0977047

10 Cooke, K. L.; Wiener, J. A survey of differential equation with piecewise constant argument in Lecture Notes in Mathematics, Vol. 1475, Springer-Verlag, Berlin 1991 1-15 MR1132014

11 Aftabizadeh, A. R.; Wiener, J. Oscillatory and periodic solutions of advanced differential equations with piecewise constant argument In Nonlinear Analysis and Applications, edited by V. Lakshmikantham, Marcel Dekker Inc., N.Y. and Basel 1987 31-38 MR0912271

12 Gopalsamy, K.; Kulenovic, M. R. S.; Ladas, G. On a logistic equation with piecewise constant arguments Differential Integral Equations 4 1991 215-223 MR1079622

13 Lin, L. C.; Wang, G. Q. Oscillatory and asymptotic behavior of first order nonlinear neutral differential equations with retarded argument $[t]$ Chinese Science Bulletin 36 1991 889-891 MR1138294

14 Huang, Y. K. Oscillations and asymptotic stability of solutions of first order netural differential equations with piecewise constant argument J. Math. Anal. Appl. 149 1990 70-85 MR1054794

15 Papaschinopoulos, G.; Schinas, J. Existence stability and oscillation of the solutions of first order neutral differential equations with piecewise constant argument Appl. Anal. 44 1992 99-111 MR1284772

16 Shen, J. H.; Stavroulakis, I. P. Oscillatory and nonoscillatory delay equations with piecewise constant argument J. Math. Anal. Appl. 248 2000 385-401 MR1775858

17 Wiener, J.; Heller, W. Oscillatory and periodic solutions to diffusion of neutral type Intern. J. Math. Math. Sci. 22 1983 313-348 MR1695261

18 Carvalho, L. A. V.; Cooke, K. L. A nonlinear equation with piecewise continuous argument Diff. Integ. Eq. 1 1988 359-367 MR0929923

19 Gaines, R. E.; Mawhin, J. L. Coincidence Degree and Nonlinear Differential Equations Lecture Notes in Math, Vol. 568, Springer-Verlag 1977 MR0637067

20 Wang, G. Q.; Cheng, S. S. Note on the set of periodic solutions of a delay differential equations with piecewise constant argument Intern. J. Pure Appl. Math. 9 2003 139-143 MR2019990

21 Wang, G. Q.; Cheng, S. S., Oscillation of second order differential equation with piecewise constant argument, CUBO Math. J., to appear MR2124826 22 Hale, J. Theory of Functional Differential Equations Springer-Verlag 1977 MR0508721