Existence of almost periodic solutions of second order neutral delay differential equations with piecewise constant argument

Science in China, Series A: Mathematics, Physics, Astronomy

Volumn 41, Issue 3, 1998, Pages 232-241

  Yuan, Rong ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Almost periodic sequences; Almost periodic solutions; Neutral delay equation; Piecewise constant argument

Indexed keywords

EID: 0001571377     PISSN: 10069283     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02879041     Document Type: Article

References (13)

1. Papaschinopoulos, G., Schinas, J., Some results concerning second and third neutral delay differential equations with piecewise constant argument, Czechoslovak Math. J., 1994, 44: 501.
2. Cooke, K. L., Wiener, J. Retarded differential equations with piecewise constant delays, J. Math. Anal. Appl., 1984, 99: 265.
3. Shah, S. M., Wiener, J., Advanced differential equations with piecewise constant argument deviations, Internat. J. Math. Math. Sor., 1983, 6: 671.
4. Cooke, K. L., Wiener, J., A survey of differential equation with piecewise continuous argument, in Lecture Notes in Mathematics, (eds. Busenberg, S., Martelli, M.), Vol.1475, Berlin; Springer-Verlag, 1991, 1-15.
5. Papaschinopoulos, G., On asymptotic behavior of the solutions of a class of perturbed differential equations with piecewise constant argument, J. Math. Anal. Appl., 1994, 185: 490.
6. Yuan, R., Hong, J. The existence of almost periodic solution for a class of differential equations with piecewise constant argument, Nonlinear Analysis, TMA, 1997, 28(8): 1437.
7. Yuan, R., Hong, J., Almost periodic solutions of differential equations with piecewise constant argument, Analysis, 1996, 16: 171.
8. Yuan, R., Hong, J. The existence of almost periodic solutions of neutral differential equations with piecewise constant argument, Sci. in China, Ser. A, 1996, 39(11): 1164.
9. Aftabizadeh, A. R., Wiener, J., Xu, J. M., Oscillatory and periodic solutions of delay differential equations with piecewise constant argument, Proc. Amer. Math. Soc., 1987, 99: 673.
10. Busenberg, S., Cooke, K. L., Models of vertically transmitted diseases with sequential continuous dynamics, in Nonlinear Phenomena in Mathematical Sciences (ed. Lakshmikantham V.), New York: Academic Press, 1982, 179-187.
11. Wiener, J., Generalized Solutions of Functional Differential Equations, Singapore: World Scientific, 1993.
12. Fink, A.M., Almost periodic differential equations, in Lecture Notes in Mathematics, Vol. 377, Berlin: Springer-Verlag, 1974.
13. Meisters, G. H., On almost periodic solutions of a class of differential equations, Proc. Amer. Math. Soc., 1959, 10: 113.