Global asymptotic stability of nonlinear delayed systems of neutral type

Nonlinear Analysis, Theory, Methods and Applications

Volumn 54, Issue 1, 2003, Pages 83-91

  Amemiya, Takashi ^a   Ma, Wanbiao ^b  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

^b UNIVERSITY OF SCIENCE AND TECHNOLOGY BEIJING   (China)

Author keywords

Delay differential equation; Neutral type; Nonlinear function; Off diagonally increasing; Stability

Indexed keywords

ASYMPTOTIC STABILITY; DIFFERENTIAL EQUATIONS; MATHEMATICAL TRANSFORMATIONS;

NONLINEAR FUNCTIONS;

NONLINEAR EQUATIONS;

EID: 0038219750     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(03)00052-X     Document Type: Article

References (14)

1. Amemiya T. On the global asymptotic stability of off-diagonally monotone dynamical systems. IEEE Trans. Circuits Systems. 32(12):1985;1261-1269.
2. Amemiya T. Stability analysis of nonlinearly interconnected systems - application of M-Functions. J. Math. Anal. Appl. 114(1):1986;252-277.
3. Gopalsamy K. Stability and Oscillations in Delay Differential Equations of Population Dynamics. 1992;Kluwer Academic Publishers, Dordrecht.
4. Hale J.K., Lunel S.M.V. Introduction to Functional Differential Equations. 1993;Springer, New York.
5. B. Jia, High-dimensional delay differential inequalities and applications, Guanzhou, 1986, preprint.
6. Kuang Y. Delay Differential Equations with Application in Population Dynamics. 1993;Academic Press, San Diego.
7. V. Lakshmikantham, S. Leela, Differential and Integral Inequalities, Vol. 1, Academic Press, New York, 1969.
8. Ma W., Takeuchi Y. Stability of neutral differential difference systems with infinite delays. Nonlinear Anal. Theory Methods Appl. 33(4):1998;367-390.
9. Nikaido H. Convex Structure and Economic Theory. Mathematics in Science and Engineering. Vol. 51:1968;Academic Press, New York.
10. Ortega J.M., Lheinboldt W.C. Iterative Solution of Nonlinear Equations in Several Variables. 1970;Academic Press, New York.
11. Si L. Stability of Neutral Differential Difference Equations with Delays. 1994;Inner Mongolia Education Press, Huhhot.
12. Si L., Ma W. Stability of neutral differential difference systems with infinite delays. Nonlinear Anal. Theory Methods Appl. 17(8):1991;787-801.
13. Si L., Ma W. Stability for nonlinear differential systems with infinite delay. Acta Math. Sinica. 38(3):1995;412-417.
14. H. Tokumaru, N.Adachi, T. Amemiya, Macroscopic stability of nonlinear interconnected systems, Proceedings IFAC World Congress, Boston, 1975, p. 4.