[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.14403/jcms.2010.23.2.401

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)

Publication Information

Journal of the Chungcheong Mathematical Society / v.23, no.2, 2010 , pp. 401-409 More about this Journal

Abstract

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

Keywords

Volterra equation; periodic solution; asymptotically periodic solution; global attractivity;

Citations & Related Records

Reference

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. DOI ScienceOn
3	T. A. Burton and T. Furumochi, Almost periodic solutions of Volterra equations and attractivity, J. Math. Anal. Appl. 198 (1996), 581-599. DOI ScienceOn
4	S. K. Choi and N. J. Koo, Asymptotic property of linear Volterra difference system, J. Math. Anal. Appl. 321 (2006), 260-272. DOI ScienceOn
5	T. Furumochi, Periodic solutions of Volterra difference equations and attractivity, Nonlinear Anal. 47 (2001), 4013-4024. DOI ScienceOn
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. DOI