Existence of almost periodic solutions of neutral functional differential equations via Liapunov-Razumikhin function

Zeitschrift fur Angewandte Mathematik und Physik

Volumn 49, Issue 1, 1998, Pages 113-136

  Yuan, Rong ^a  

^a BEIJING NORMAL UNIVERSITY   (China)

Author keywords

Almost periodic solutions; Liapunov Razumikhin technique; Neutral functional differential equations; Nonautonomous operator

Indexed keywords

EID: 0032345231     PISSN: 00442275     EISSN: None     Source Type: Journal    
DOI: 10.1007/s000330050084     Document Type: Article

References (16)

1. M. A. Cruz & J.K. Hale, Stability of functional differential equations of neutral type, J. Differential Equations 7 (1970), 334-355.
2. A. M. Fink, Almost periodic differential equations, in Lecture Notes in Mathematics, 377, Springer-Verlag, New-York 1974.
3. J. K. Hale, Theory of Functional Differential Equations, Springer-Verlag, New-York 1977.
4. J. K. Hale, Periodic and almost periodic solution of functional differential equations, Arch. Rational Mech. Anal. 15 (1904), 289-309.
5. C. Y. He, Almost Periodic Differential Equations, Higher Education Press, Beijing, 1992 [Chinese].
6. Y. Hino, Almost periodic solutions of functional differential equations with infinite retardation II, Tohoku Math. J., 32 (1980), 525-530.
7. B. M. Levitan & V.V. Zhikov, Almost Periodic Functions and Differential Equations, Cambridge University Press, Cambridge 1982.
8. K. Sawano, Exponential asymptotical stability for functional differential equations with infinite retardation, Tohoku Math. J. 31 (1979), 363-382.
9. G. Seifert, On uniformly almost periodic sets of functions for almost periodic differential equations, Tohoku Math.J., 34 (1982), 301-309.
10. T. Yoshizawa, Stability Theory by Liapunov Second Method, Math. Soc. Japan, Tokyo, 1966.
11. T. Yoshizawa, Stability properties in almost periodic systems of functional differential equations , in Lecture Notes in Math., Vol.799, Springer-Verlag, New York 1979, pp. 385-409.
12. T. Yoshizawa, Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions, Springer-Verlag, New-York 1975.
13. T. Yoshizawa, Extreme stability and almost perioidc solutions of functional differential equations, Arch. Rational. Mech. Anal. 17(1965), 148-170.
14. R. Yuan, Existence of almost periodic solutions of functional differential equations of neutral type, J. Math. Anal. Appl. 165 (2) (1992), 524-538.
15. R. Yuan, Existence of almost periodic solution of functional differential equations, Ann. of Diff. Eqs. 7(2) (1991), 234-242.
16. R. Yuan, Separation properties and existence of almost periodic solutions, Acta Math. Sinica, 36(4) (1993), 531-535.