1 |
A. E. Hamza and M. A. Al-Qubaty, On the exponential operator functions on time scales, Adv. Dyn. Syst. Appl. 7 (2012), no. 1, 57-80.
|
2 |
C. Potzsche, S. Siegmund, and F. Wirth, A spectral characterization of exponential stability for linear time-invariant systems on time scales, Discrete Contin. Dyn. Syst. 9 (2003), no. 5, 1223-1241.
DOI
|
3 |
S. K. Choi, D. M. Im, and N. Koo, Stability of linear dynamic systems on time scales, Adv. Difference Equ. 2008 (2008), Art. ID 670203, 12 pp.
|
4 |
R. J. Marks, I. A. Gravagne, J. M. Davis, and J. J. Dacunha, Nonregressivity in switched linear circuits and mechanical systems, Math. Comput. Modelling 43 (2006), no. 11-12, 1383-1392.
DOI
|
5 |
C.-L. Mihit, On uniform h-stability of evolution operators in Banach spaces, Theory Appl. Math. Comput. Sci. 6 (2016), no. 1, 19-27.
|
6 |
B. B. Nasser, K. Boukerrioua, and M. A. Hammami, On the stability of perturbed time scale systems using integral inequalities, Appl. Sci. 16 (2014), 56-71.
|
7 |
K. M. Oraby, Asymptotic Behavior of Solutions of Dynamic Equations on Time Scales, M.SC thesis, Cairo University, 2012.
|
8 |
A. E. Hamza and K. M. Oraby, Stability of abstract dynamic equations on time scales, Adv. Difference Equ. 143 (2012), 15 pp.
|
9 |
A. Pazy, Semigroups of Linear Operators and Applications to Partial Differential Equations, Applied Mathematical Sciences, 44, Springer-Verlag, New York, 1983.
|
10 |
M. Pinto, Perturbations of asymptotically stable differential systems, Analysis 4 (1984), no. 1-2, 161-175.
DOI
|
11 |
A. E. Hamza and K. M. Oraby, Semigroups of operators and abstract dynamic equations on time scales, Appl. Math. Comput. 270 (2015), 334-348.
DOI
|
12 |
S. Hilger, Ein Masskettenkalkul mit Anwendung auf Zentrumsmannigfaltigkeiten, PhD thesis, Universitat Wurzburg, 1988.
|
13 |
S. Hilger, Analysis on measure chains-a unified approach to continuous and discrete calculus, Results Math. 18 (1990), no. 1-2, 18-56.
DOI
|
14 |
A.-L. Liu, Boundedness and exponential stability of solutions to dynamic equations on time scales, Electron. J. Differential Equations 2007 (2007), No. 12, 14 pp.
|
15 |
R. Agarwal, M. Bohner, D. O'Regan, and A. Peterson, Dynamic equations on time scales: a survey, J. Comput. Appl. Math. 141 (2002), no. 1-2, 1-26.
DOI
|
16 |
B. Aulbach and S. Hilger, A unified approach to continuous and discrete dynamics, in Qualitative theory of differential equations (Szeged, 1988), 37-56, Colloq. Math. Soc. Janos Bolyai, 53, North-Holland, Amsterdam, 1990.
|
17 |
S. K. Choi and N. Koo, Stability of linear dynamic equations on time scales, Discrete Contin. Dyn. Syst. 2009, Dynamical systems, differential equations and applications. 7th AIMS Conference, suppl., 161-170.
|
18 |
M. Bohner and A. Peterson, Dynamic Equations on Time Scales, Birkhauser Boston, Inc., Boston, MA, 2001.
|
19 |
M. Bohner and A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhauser, Besel, 2003.
|
20 |
S. K. Choi, Y. H. Goo, and N. Koo, h-stability of dynamic equations on time scales with nonregressivity, Abstr. Appl. Anal. 2008 (2008), Art. ID 632473, 13 pp.
|
21 |
S. K. Choi, N. Koo, and D. M. Im, h-stability for linear dynamic equations on time scales, J. Math. Anal. Appl. 324 (2006), no. 1, 707-720.
DOI
|
22 |
J. J. DaCunha, Stability for time varying linear dynamic systems on time scales, J. Comput. Appl. Math. 176 (2005), no. 2, 381-410.
DOI
|
23 |
T. S. Doan, A. Kalauch, and S. Siegmund, Exponential stability of linear time-invariant systems on time scales, Nonlinear Dyn. Syst. Theory 9 (2009), no. 1, 37-50.
|
24 |
N. H. Du and L. H. Tien, On the exponential stability of dynamic equations on time scales, J. Math. Anal. Appl. 331 (2007), no. 2, 1159-1174.
DOI
|
25 |
K.-J. Engel and R. Nagel, One-Parameter Semigroups for Linear Evolution Equations, Graduate Texts in Mathematics, 194, Springer-Verlag, New York, 2000.
|