Bounded and periodic solutions of infinite delay evolution equations

Journal of Mathematical Analysis and Applications

Volumn 286, Issue 2, 2003, Pages 705-712

  Liu, James ^a,d   Naito, Toshiki ^b   Van Minh, Nguyen ^c  

^a JAMES MADISON UNIVERSITY   (United States)

^b UNIVERSITY OF ELECTRO COMMUNICATIONS   (Japan)

^c VIETNAM NATIONAL UNIVERSITY   (Viet Nam)

^d ANHUI UNIVERSITY   (China)

Author keywords

Bounded and periodic solutions; Condensing operators; Hale and lunel's fixed point theorem; Infinite delay

Indexed keywords

EID: 0242677005     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0022-247X(03)00512-2     Document Type: Article

References (8)

1. H. Amann, Periodic solutions of semi-linear parabolic equations, in: Nonlinear Analysis, A Collection of Papers in Honor of Erich Roth, Academic Press, New York, 1978, pp. 1-29.
2. T. Burton, Stability and Periodic Solutions of Ordinary Differential Equations and Functional Differential Equations, Academic Press, 1985, pp. 197-308.
3. J. Hale, S. Lunel, Introduction to Functional Differential Equations, Springer-Verlag, New York, 1993, pp. 113-119.
4. H. Henriquez, Periodic solutions of quasi-linear partial functional differential equations with unbounded delay, Funkcial. Ekvac. 37 (1994) 329-343.
5. J. Liu, Bounded and periodic solutions of semi-linear evolution equations, Dynam. Systems Appl. 4 (1995) 341-350.
6. J. Liu, Bounded and periodic solutions of finite delay evolution equations, Nonlinear Anal. 34 (1998) 101-111.
7. J. Liu, Periodic solutions of infinite delay evolution equations, J. Math. Anal. Appl. 247 (2000) 627-644.
8. A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Springer-Verlag, New York, 1983, pp. 60-212.