References
- Agarwal RP 2000 Difference Equations and Inequalities. Theory, Methods, and Applications 2nd Edn New York Marcel Dekker
- Akhmetov M Tleubergenova MA Zafer A Asymptotic equivalence and asymptotically almost periodic solutions of differential equations (Submitted)
- Coffman , CV . 1964 . Asymptotic behavior of solutions of ordinary difference equations . Transactions of the American Mathematical Society , 110 : 22 – 51 .
- Choi , SK , Koo , NJ and Ryu , HS . 2003 . Asymptotic equivalence between two difference systems. Advances in difference equations, IV . Computers & Mathematics with Applications , 45 : 1327 – 1337 .
- Drozdowichz , A and Popenda , J . 1987 . Asymptotic behavior of the solutions of the second order difference equation . Proceedings of the American Mathematical Society , 99 : 135 – 140 .
- Elaydi , S . 1999 . Asymptotics for linear difference equations I: Basic theory . Journal of Difference Equations and Applications , 5 : 563 – 589 .
- Elaydi , S and Gyori , I . 1995 . Asymptotic theory for delay difference equations I . Journal of Difference Equations and Applications , 1 : 99 – 116 .
- Levinson , N . 1946 . The asymptotic behavior of a system of linear differential equations . American Journal of Mathematics , 68 : 1–6, MR 7:381f
- Medina , R and Pinto , M . 1996 . Asymptotic representation of solutions of ordinary difference systems . Applicable Analysis , 61 : 31 – 44 .
- Medina , R and Pinto , M . 1997 . Asymptotic equivalence and asymptotic behavior of difference systems . Communications in Applied Analysis , 1 : 511 – 523 .
- Medina , R . 1998 . Asymptotic behavior of nonlinear difference systems . Journal of Mathematical Analysis and Applications , 219 : 294 – 311 .
- Morchało , J . 2002 . Asymptotic properties of solutions of second-order difference equations . Archivum Mathematicum (Brno) , 38 : 15 – 26 .
- Pituk , M . 1997 . Asymptotic behavior of a Poincare difference equation . Journal of Difference Equations and Applications , 3 : 33 – 53 .
- Pinto , M . 1994 . Discrete dichotomies . Computers & Mathematics with Applications , 28 : 259 – 270 .
- Ráb , M . 1958 . Über lineare perturbationen eines systems von linearen differentialgleichungen . Czechoslovak Mathematical Journal , 83 : 222 – 229 .
- Ráb , M . 1966 . Note sur les formules asymptotiques pour les solutions d’un systéme d’équations différentielles linéaires . Czechoslovak Mathematical Journal , 91 : 127 – 129 .
- Trench , WF . 1994 . Asymptotic behavior of solutions of Poincare's recurrence systems. Advances in difference equations . Computers & Mathematics with Applications , 28 : 317 – 324 .
- Trench , WF . 2000 . Systems of difference equations with asymptotically constant solutions. Lakshmikantham's legacy: a tribute on his 75th birthday . Nonlinear Analysis Series A: Theory Methods , 40 : 611 – 615 .
- Yakubovich , VA . 1951 . On the asymptotic behavior of the solutions of a system of differential equations . Mathematicheskii Sbornik. Novaya Seriya , 28 : 217 – 240 .
- Nemytskii VV Stepanov VV 1966 Qualitative Theory of Differential Equations Princeton New Jersey Princeton University Press