Almost periodic functions on time scales and applications

Discrete Dynamics in Nature and Society

Volumn 2011, Issue , 2011, Pages

  Li, Yongkun ^a   Wang, Chao ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80052651403     PISSN: 10260226     EISSN: 1607887X     Source Type: Journal    
DOI: 10.1155/2011/727068     Document Type: Article

References (29)

1. Fink A. M., Gatica J. A., Positive almost periodic solutions of some delay integral equations Journal of Differential Equations 1990 83 1 166 178
2. Hino Y., Naito T., Minh N. V., Shin J. S., Almost Periodic Solutions of Differential Equations in Banach Spaces 2002 15 London, UK Taylor Francis viii+250 Stability and Control: Theory, Methods and Applications
3. Hamaya Y., Existence of an almost periodic solution in a difference equation with infinite delay Journal of Difference Equations and Applications 2003 9 2 227 237 (Pubitemid 36116734)
4. Boukli-Hacene N., Ezzinbi K., Weighted pseudo almost periodic solutions for some partial functional differential equations Nonlinear Analysis: Theory, Methods Applications 2009 71 9 3612 3621
5. Ait Dads E. H., Cieutat P., Ezzinbi K., The existence of pseudo-almost periodic solutions for some nonlinear differential equations in Banach spaces Nonlinear Analysis: Theory, Methods Applications 2008 69 4 1325 1342
6. Li Y., Fan X., Existence and globally exponential stability of almost periodic solution for Cohen-Grossberg BAM neural networks with variable coefficients Applied Mathematical Modelling 2009 33 4 2114 2120
7. Bohner M., Peterson A., Dynamic Equations on Time Scales, An Introduction with Applications 2001 Boston, Mass, USA Birkhuser x+358
8. Hilger S., Analysis on measure chainsa unified approach to continuous and discrete calculus Results in Mathematics 1990 18 1-2 18 56
9. Kaufmann E. R., Raffoul Y. N., Periodic solutions for a neutral nonlinear dynamical equation on a time scale Journal of Mathematical Analysis and Applications 2006 319 1 315 325 (Pubitemid 43506862)
10. Fink A. M., Almost Periodic Differential Equation 1974 377 Berlin, Germany Springer viii+336 Lecture Notes in Mathematics
11. Fink A. M., Seifert G., Liapunov functions and almost periodic solutions for almost periodic systems Journal of Differential Equations 1969 5 307 313
12. Cheban D., Mammana C., Invariant manifolds, global attractors and almost periodic solutions of nonautonomous difference equations Nonlinear Analysis: Theory, Methods Applications 2004 56 4 465 484
13. Kosmatopoulos E. B., Polycarpou M. M., Christodoulou M. A., Ioannou P. A., High-order neural network structures for identification of dynamical systems IEEE Transactions on Neural Networks 1995 6 2 422 431
14. Kamp Y., Hasler M., Recursive Neural Networks for Associative Memory 1990 Chichester, UK John Wiley Sons xiv+194 Wiley-Interscience Series in Systems and Optimization
15. Dembo A., Farotimi O., Kailath T., High-order absolutely stable neural networks IEEE Transactions on Circuits and Systems 1991 38 1 57 65
16. Kosmatopoulos E. B., Christodoulou M. A., Structural properties of gradient recurrent high-order neural networks IEEE Transactions on Circuits and Systems II 1995 42 9 592 603
17. Yi X., Shao J., Yu Y., Xiao B., New convergence behavior of high-order hopfield neural networks with time-varying coefficients Journal of Computational and Applied Mathematics 2008 219 1 216 222
18. Liao X., Yu J., Robust stability for interval Hopfield neural networks with time delay IEEE Transactions on Neural Networks 1998 9 5 1042 1045 (Pubitemid 128743667)
19. Liu B., Huang L., Almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays Applied Mathematics Letters 2007 20 1 70 74 (Pubitemid 44572659)
20. Liu Y., You Z., Cao L., On the almost periodic solution of generalized shunting inhibitory cellular neural networks with continuously distributed delays Physics Letters A 2006 360 1 122 130 (Pubitemid 44634995)
21. Liu Y., You Z., Cao L., Almost periodic solution of shunting inhibitory cellular neural networks with time varying and continuously distributed delays Physics Letters A 2007 364 1 17 28
22. Gui Z., Ge W., Yang X.-S., Periodic oscillation for a Hopfield neural networks with neutral delays Physics Letters A 2007 364 3-4 267 273
23. Liao X., Wong K.-W., Wu Z., Chen G., Novel robust stability criteria for interval-delayed Hopfield neural networks IEEE Transactions on Circuits and Systems. I 2001 48 11 1355 1359 (Pubitemid 33120588)
24. Gopalsamy K., He X. Z., Stability in asymmetric Hopfield nets with transmission delays Physica D 1994 76 4 344 358
25. Zhang Y., Global exponential stability and periodic solutions of delay Hopfield neural networks International Journal of Systems Science 1996 27 2 227 231
26. Liu B., Almost periodic solutions for shunting inhibitory cellular neural networks without global Lipschitz activation functions Journal of Computational and Applied Mathematics 2007 203 1 159 168 (Pubitemid 46349473)
27. Zhao W., Zhang H., On almost periodic solution of shunting inhibitory cellular neural networks with variable coefficients and time-varying delays Nonlinear Analysis: Real World Applications 2008 9 5 2326 2336
28. Li Y., Chen X., Zhao L., Stability and existence of periodic solutions to delayed Cohen-Grossberg BAM neural networks with impulses on time scales Neurocomputing 2009 72 79 1621 1630
29. Li Y., Zhao L., Liu P., Existence and exponential stability of periodic solution of high-order Hopfield neural network with delays on time scales Discrete Dynamics in Nature and Society 2009 2009 18