Identyfikatory
Warianty tytułu
Języki publikacji
Abstrakty
In this paper, we present some asymptotic results related to the scalar dynamic equation with a delayed argument. Using the time scale calculus we generalize some results known in the differential and difference case to the more general dynamie case.
Słowa kluczowe
Czasopismo
Rocznik
Tom
Strony
421--429
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
autor
autor
- Brno University of Technology, Faculty of Mechanical Engineering, Department of Mathematics, Technická 2, 616 69 Brno, Czech Republic, cermak.j@fme.vutbr.cz
Bibliografia
- [1] O. Arino, M. Pituk: More on linear differential systems with small delays, J. Differential Equations 170 (2001), 381-407.
- [2] F.V. Atkinson, J.R. Haddock: Criteria for asymptotic constancy of solutions of functional differential equations, J. Math. Anal. Appl. 91 (1983), 410-423.
- [3] M. Bohner: Some oscillation criteria for first order delay dynamic equations, Far East J. Appl. Math. 18(3) (2005), 289-304.
- [4] M. Bohner, A. Peterson: Dynamic Equations on Time Scales - An Introduction With Applications. Birkhauser, Boston, 2001.
- [5] M. Bohner, A. Peterson: Advances in Dynamic Equations on Time Scales. Birkhauser, Boston, 2003.
- [6] J. Cermak: The asymptotic of solutions for a class of delay differential equations, Rocky Mountain J. Math. 33 (2003), 775-786.
- [7] N.G. De Bruijn: The asymptotically periodic behavior of the solutions of some linear functional equations, Amer. J. Math., 71 (1949), 313-330.
- [8] J. Diblik: Asymptotic representation of solutions of equation y(t) = B(t)[y(t) - y(t -r(t))], J. Math. Anal. Appl. 217 (1998), 200-215.
- [9] I. Gyori, M. Pituk: Comparison theorems and asymptotic equilibrium for delay differential and difference equations, Dynam. Systems Appl. 5 (1996), 277-302.
- [10] A. Iserles: On generalized pantograph functional-differential equation, European J. Appl. Math. 4 (1993), 1-38.
- [11] M.L. Heard: A change of variables for functional differential equations, J. Differential Equations 18 (1975), 1-10.
- [12] T. Kato, J.B. McLeod: The functional-differential equation y'(x) = ay(lambdax) + by(x), Bull. Amer. Math. Soc. 77 (1971), 891-937.
- [13] T. Krisztin: A note on the convergence of the solutions of a linear functional-differential equation, J. Math. Anal. Appl. 145 (1990), 17-25.
- [14] Y. Liu: Asymptotic behaviour of functional-differential equations with proportional time delays, Euro. J. Appl. Math. 7 (1996), 11-30.
- [15] G. Makay, J. Terjeki: On the asymptotic behavior of the pantograph equations, Electron. J. Qual. Theory Differ. Equ. 2 (1998), 1-12.
- [16] R.M. Mathsen, Q.R. Wang, H.W. Wu: Oscillation for neutral dynamic functional equations on time scales, J. Difference Equ. Appl. 10 (2004), 651-659.
- [17] H. Peics: On the asymptotic behaviour of difference equations with continuous arguments, Ser. A. Math. Anal. 9 (2002), 257-273.
- [18] B.G. Zhang, X. Deng: Oscillation of delay differential equations on time scales, Math. Comput. Modelling 36 (2002) 1307-1318.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-AGH4-0007-0093