GAO Jin,LIN Yuan,WANG Qiru.Almost-periodic solutions for BAM neural networks with time-varying delays in leakage terms on time scales[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(05):29-39.
GAO Jin,LIN Yuan,WANG Qiru.Almost-periodic solutions for BAM neural networks with time-varying delays in leakage terms on time scales[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2020,59(05):29-39. DOI: 10.13471/j.cnki.acta.snus.2019.06.21.2019A048.
Almost-periodic solutions for BAM neural networks with time-varying delays in leakage terms on time scales
The almost-periodic solutions for BAM neural networks with time-varying delays in leakage terms on time scales are concerned. Some sufficient conditions about the existence
uniqueness and global exponential stability of almost-periodic solutions are given. An example and numerical simulations are established to illustrate the feasibility and effectiveness of the results.
KOSKO B. Bidirectional associative memories [J]. Systems Man & Cybernetics IEEE Transactions on, 1988, 18(1): 49-60.
CHEN A P,HUANG L H,CAO J D. Existence and stability of almost periodic solution for BAM neural networks with delays [J]. Appl Math Comput, 2003, 137(1): 177-193.
LIU Z G,CHEN A P,CAO J D,et al. Existence and global exponential stability of almost periodic solutions of BAM neural networks with continuously distributed delays [J]. Phys Lett A, 2003, 319(3/4): 305-316.
BAO H M. Existence and exponential stability of periodic solution for BAM fuzzy Cohen-Grossberg neural networks with mixed delays [J]. Neural Process Lett, 2016, 43(3): 871-885.
XIA Y H,CAO J D,LIN M R. New results on the existence and uniqueness of almost periodic solution for BAM neural networks with continuously distributed delays [J]. Chaos Soliton Fract, 2007, 31(4): 928-936.
ZHANG L J. Existence and global attractivity of almost periodic solution for BAM neural networks with variable coefficients and delays [J]. Journal of Biomathematics, 2007, 22(3): 403-412.
GAO J,CHENG S H,WANG Q R. Existence of nonoscillatory solutions to second-order nonlinear neutral dynamic equations on time scales [J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2009,48(6): 23-26.
QIU Y C,WANG Q R. New Kamenev-type oscillation criteria for second-order nonlinear dynamic equations on time scales [J]. Acta Scientiarum Naturalium Universitatis Sunyatseni, 2013, 52(6): 26-29,33.
GAO J,WANG Q R,ZHANG L W. Existence and stability of almost-periodic solutions for cellular neural networks with time-varying delays in leakage terms on time scales [J]. Appl Math Comput, 2014, 237(3): 639-649.
GAO J,WANG Q R,LIN Y. Existence and exponential stability of almost-periodic solutions for neutral BAM neural networks with time-varying delays in leakage terms on time scales [J]. Math Method Appl Sci, 2016, 39(6): 1361-1375.
BOHNER M,PETERSON A. Dynamic equations on time Scales: An introduction with applications [M]. Boston: Birkhäuser, 2001.
LI Y K,WANG C. Uniformly almost periodic functions and almost periodic solutions to dynamic equations on time scales [J]. Abstr Appl Anal, 2011,2011(Article ID 341520): 1-22.
BOHNER M,PETERSON A. Advances in dynamic equations on time scales [M]. Boston: Birkhäuser, 2003.