Almost periodic solutions of Volterra equations and attractivity

Journal of Mathematical Analysis and Applications

Volumn 198, Issue 2, 1996, Pages 581-599

  Burton, T A ^a   Furumochi, Tetsuo ^b  

^a Southern Illinois University at Carbondale   (United States)

^b SHIMANE UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0030094497     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1996.0100     Document Type: Article

References (12)

1. 1. T. A. Burton, "Volterra Integral and Differential Equations," Academic Press, New York, 1983.
2. 2. T. A. Burton and T. Furumochi, Periodic and asymptotically periodic solutions of Volterra integral equations, Funkcial. Ekvac., to appear.
3. 3. T. A. Burton and T. Furumochi, Periodic solutions of Volterra equations and attractivity, Dynam. Syst. Appl. 3 (1994), 583-598.
4. 4. C. Corduneanu, "Almost Periodic Functions," Interscience, New York, 1968.
5. 5. C. Corduneanu, "Integral Equations and Applications," Cambridge Univ. Press, Cambridge, 1991.
6. 6. A. M. Fink, "Almost Periodic Differential Equations," Springer, Berlin, 1974.
7. 7. G. Gripenberg, On the convergence of solutions of Volterra equations to almost periodic functions, Quart. Appl. Math. 39 (1981), 363-373.
8. 8. G. Gripenberg, S.-O. Londen, O. Staffans, "Volterra Integral and Functional Equations," Cambridge Univ. Press, Cambridge, 1990.
9. 9. R. K. Miller, Almost-periodic behavior of solutions of a nonlinear Volterra system, Quart. Appl. Math. 28 (1971), 435-570.
10. 10. R. K. Miller, Asymptotically almost periodic solutions of a nonlinear Volterra system, SIAM J. Math. Anal. 2 (1971), 435-444.
11. 11. O. J. Staffans, On the almost periodicity of the solutions of an integrodifferential equation, J. Integral Equations 8 (1985), 249-260.
12. 12. T. Yoshizawa, "Stability Theory and the Existence of Periodic Solutions and Almost Periodic Solutions," Springer, New York, 1975.