Regularity of solutions of partial neutral functional differential equations with unbounded delay

Proyecciones

Volumn 21, Issue 1, 2002, Pages 65-95

  Hernândez, Eduardo ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Abstract cauchy problem; Regularity of solutions; Retarded functional differential equations; Semigroup of bounded linear operators

Indexed keywords

EID: 33747125621     PISSN: 07160917     EISSN: 07176279     Source Type: Journal    
DOI: 10.4067/S0716-09172002000100005     Document Type: Article

References (12)

1. Goldstein, Jerome A. Semigroups of linear operators and applications. Oxford Mathematical Monographs. The Clarendon Press, Oxford University Press, New York, (1985).
2. Hale, Jack K.; Kato, Junji.(1978) Phase space for retarded equations with infinite delay. Funkcial. Ekvac. 21, No. 1, pp. 11-41.
3. Hale, Jack K.; Verduyn Lunel, Sjoerd M. Introduction to functional-differential equations. Applied Mathematical Sciences, 99. Springer-Verlag, New York, (1993).
4. Hernández, Eduardo; Henríquez, Hernán R. Existence of periodic solutions of partial neutral functional-differential equations with unbounded delay. J. Math. Anal. Appl. 221, No. 2, PP. 499-522, (1998).
5. Hernández, Eduardo; Henríquez, Hernán R. Existence results for partial neutral functional-differential equations with unbounded delay. J. Math. Anal. Appl. 221 (1998), no. 2, 452-475.
6. Henríquez, Hernán R. Regularity of solutions of abstract retarded functional-differential equations with unbounded delay. Nonlinear Anal. 28, No. 3, pp. 513-531, (1997).
7. Henríquez, Hernán R. Periodic solutions of quasi-linear partial functional-differential equations with unbounded delay. Funkcial. Ekvac. 37, No. 2, pp. 329-343, (1994).
8. Hino, Yoshiyuki; Murakami, Satoru; Yoshizawa, Taro. Existence of almost periodic solutions of some functionaldifferential equations with infinite delay in a Banach space. Tôhoku Math. J. (2) 49, No. 1, pp. 133-147, (1997).
9. Krein, S. G. Linear differential equations in Banach space. Translated from the Russian by J. M. Danskin. Translations of Mathematical Monographs, Vol. 29. American Mathematical Society, Providence, R. I., (1971).
10. Pazy, A. Semigroups of linear operators and applications to partial differential equations. Applied Mathematical Sciences, 44. Springer-Verlag, New York-Berlin, (1983).
11. B. N. Sadovskii. On a fixed point principle. Funct. Anal. Appl. 1, pp. 74-76, (1967).
12. Travis, C. C.; Webb, G. F. Existence and stability for partial functional differential equations. Trans. Amer. Math. Soc. 200, pp. 395-418, (1974).