Journal of the Chungcheong Mathematical Society (충청수학회지)

The Chungcheong Mathematical Society (충청수학회)
권호 표지
DOI QR코드

DOI QR Code

PERIODIC SOLUTIONS OF VOLTERRA EQUATIONS

  • Choi, Sung Kyu (Department of Mathematics Chungnam National University) ;
  • Koo, Namjip (Department of Mathematics Chungnam National University) ;
  • Yeo, Yun Hei (Department of Mathematics Chungnam National University) ;
  • Yun, ChanMi (Department of Mathematics Chungnam National University)
  • Received : 2010.05.17
  • Accepted : 2010.05.27
  • Published : 2010.06.30
Download PDF
⟨ Previous Next ⟩

Abstract

We study the existence of periodic solutions of Volterra equations by using the limiting equations and contraction mappings.

Keywords

Acknowledgement

Supported by : Chungnam National University

References

  1. T. A. Burton and T. Furumochi, Periodic solutions of Volterra equations and attractivity, Dyn. Sys. Appl. 3 (1994), 583-598.
  2. T. A. Burton and T. Furumochi, Periodic solutions of a Volterra equation and robustness, Nonlinear Anal. 25 (1995), 1199-1219. https://doi.org/10.1016/0362-546X(94)00241-9
  3. T. A. Burton and T. Furumochi, Almost periodic solutions of Volterra equations and attractivity, J. Math. Anal. Appl. 198 (1996), 581-599. https://doi.org/10.1006/jmaa.1996.0100
  4. S. K. Choi and N. J. Koo, Asymptotic property of linear Volterra difference system, J. Math. Anal. Appl. 321 (2006), 260-272. https://doi.org/10.1016/j.jmaa.2005.08.028
  5. T. Furumochi, Periodic solutions of Volterra difference equations and attractivity, Nonlinear Anal. 47 (2001), 4013-4024. https://doi.org/10.1016/S0362-546X(01)00520-X
  6. G. Gripengerg, On the convergence of solutions of Volterra equations to almost-periodic functions, Quart. Appl. Math. 39 (1981/82), no. 3, 363-373.
  7. R. K. Miller, Asymptotically almost periodic solutions of a nonlinear Volterra system, SIAM J. Math. Anal. 2 (1971), 435-444. https://doi.org/10.1137/0502042