References
- Adivar M, Raffoul YN. Existence results for periodic solutions of integro-dynamic equations on time scales. Ann. Mat. Pura Appl. 2009;188:543–559.
- Brigo D, Mercurio F. Discrete time vs continuous time stock-price dynamics and implications for option pricing. Financ. Stoch. 2000;4:147–159.
- Christiansen FB, Fenchel TM. Theories of populations in biological communities. Vol. 20 of Lectures notes in ecological studies. Berlin: Springer; 1977.
- Diagana T. Almost periodic solutions to some second-order nonautonomous differential equations. Proc. Amer. Math. Soc. 2012;140:279–289.
- Ding HS, Fu JD, N’Guérékata GM. Positive almost periodic type solutions to a class of nonlinear difference equation. E. J. Qual. Theory Diff. Equ. 2011;25:1–17.
- Erbe L, Peterson A. Boundedness and oscillation for nonlinear dynamic equations on a time scale. Proc. Amer. Math. Soc. 2004;132:735–744.
- Erbe L, Baoguo J, Peterson A. On the asymptotic behavior of solutions of Emden-Fowler equations on time scales. Ann. Mat. Pura. Appl. 2012;191:205–217.
- Keller S. Asymptotisches Verhalten invarianter Faserbündel bei Diskretisierung und Mittelwertbildung in Rahmen der Analysis auf Zeitskalin [PhD Thesis]. Universität Augsburg; Augsburg, Germany, 1999.
- Klapper I, Qian H. Remarks on discrete and continuous large-scale models of DNA dynamics. Biophys. J. 1998;74:2504–2514.
- Long W, Pan WH. Asymptotically almost periodic solution to a class of Volterra difference equations. Adv. Diff. Equat. 2012;2012:199.
- Tisdell CC, Zaidi A. Basic qualitative and quantitative results for solutions to nonlinear, dynamic equations on time scales with an application to economic modelling. Nonlinear Anal. 2008;68:3504–3524.
- Woukeng JL. Periodic homogenization of nonlinear non-monotone parabolic operators with three time scales. Ann. Mat. Pura. Appl. 2010;189:357–379.
- Corduneanu C. Almost periodic functions. New York (NY): John Wiley and Sons; 1968.
- Corduneanu C. Almost periodic oscillations and waves. New York (NY): Springer; 2009.
- Li Y, Wang C. Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales. Abstr. Appl. Anal. 2011. 22 p. Art. ID 341520;2011:1–22.
- Li Y, Wang C. Almost periodic solutions to dynamic equations on time scales and applications. J. Appl. Math. 2012. ID 463913;2012:1–19.
- Li Y, Wang C. Almost periodic functions on time scales and applications. Discrete Dyn. Nat. Soc. 2011. 20 p. Art. ID 727068;2011:1–20.
- Li Y, Wang C. Pseudo almost periodic functions and pseudo almost periodic solutions to dynamic equations on time scales. Adv. Difference Equ. 2012;77:1–24.
- Bohner M, Peterson A. Dynamic equations on time scales: an introduction with applications. Boston (MA): Birkhäuser; 2001.
- Bohner M, Peterson A. Advances in dynamic equations on time scales. Boston (MA): Birkhäuser; 2003.
- Rogers Jr JW, Sheng Q. Notes on the diamond-∞ dynamic derivative on time scales. J. Math. Anal. Appl. 2007;326:228–241.
- Sheng Q, Fadag M, Henderson J, Davis JM. An exploration of combined dynamic derivatives on time scales and their applications. Nonlinear Anal. Real World Appl. 2006;7:395–413.
- Lizama C, Mesquita JG. Almost automorphic solutions of dynamic equations on time scales. J. Funct. Anal. 2013;265:2267–2311.
- Lizama C, Mesquita JG. Asymptotically almost automorphic solutions of dynamic equations on time scales. submitted.
- Slavík A. Dynamic equations on time scales and generalized ordinary differential equations. J. Math. Anal. Appl. 2012;385:534–550.