TY - JOUR
T1 - Discrete Halanay-type inequalities and applications
AU - Liz, Eduardo
AU - Ivanov, Anatoli
AU - Ferreiro, Juan Bosco
N1 - Funding Information:
This research was supported in part by the M.C.T. (Spain) and FEDER under the project BFM 2001-3884 (E. Liz and J.B. Ferreiro), and by the NSF Grant INT 0203702 (USA) (A. Ivanov). The paper was completed when A. Ivanov was visiting the University of Vigo under the support of a grant from the Consellerı́a de Educación Universitaria (Xunta de Galicia). He is thankful to both institutions for their hospitality and support.
PY - 2003/12
Y1 - 2003/12
N2 - The discrete Halanay-type inequalities and applications were discussed. It was found that a class of difference equations closely related with the discrete-type Halanay inequalities were the difference equation with maxima. The application of theorem to the Lozi map which was a piecewise linear version of the Hénon map was also presented.
AB - The discrete Halanay-type inequalities and applications were discussed. It was found that a class of difference equations closely related with the discrete-type Halanay inequalities were the difference equation with maxima. The application of theorem to the Lozi map which was a piecewise linear version of the Hénon map was also presented.
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U2 - 10.1016/j.na.2003.07.013
DO - 10.1016/j.na.2003.07.013
M3 - Article
AN - SCOPUS:0142043484
SN - 0362-546X
VL - 55
SP - 669
EP - 678
JO - Nonlinear Analysis, Theory, Methods and Applications
JF - Nonlinear Analysis, Theory, Methods and Applications
IS - 6
ER -