The Asymptotic Bounds of Solutions of Linear Delay Systems

Journal of Mathematical Analysis and Applications

Volumn 225, Issue 2, 1998, Pages 373-388

  Čermák, Jan ^a  

^a BRNO UNIVERSITY OF TECHNOLOGY   (Czech Republic)

Author keywords

Functional differential equation; functional equation; transformation; asymptotic behavior

Indexed keywords

EID: 0000237840     PISSN: 0022247X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jmaa.1998.6018     Document Type: Article

References (13)

1. Cooke K. L., Verduyn Lunel S. M. Distributional and small solutions for linear time-dependent delay equations. Differential Integral Equations. 6:1993;1101-1117.
2. Cooke K. L., Derfel G. On the sharpness of a theorem by Cooke and Verduyn Lunel. J. Math. Anal. Appl. 197:1996;379-391.
3. J. Čermák, On the asymptotic behavior of solutions of certain functional-differential equations, Math. Slovaca.
4. Diblík J. Behaviour at infinity of solutions of systems of differential equations with delay. Bainov D., Covachev V. Third International Colloquium on Differential Equations. 1993;219-227.
5. Gantmacher F. R. Matrix Theory. 1988;Nauka, Moscow.
6. Grebenschikov B. G. A method for studying the stability of stationary systems with large delay. Mat. Fiz. Nelinein. Mekh. 17:1992;50-54.
7. Heard M. L. A change of variables for functional differential equation. J. Differential Equations. 18:1975;1-10.
8. Kuczma M., Choczewski B., Ger R. Iterative functional equations. Encyclopedia of Mathematics and Its Applications. 1990;Cambridge Univ. Press, Cambridge.
9. Lim E. B. Asymptotic behavior of solutions of functional differential equationxtAxtBxt. J. Math. Anal. Appl. 55:1976;794-806.
10. Louisell J. Stability criteria with a symmetric operator occurring in linear and nonlinear delay-differential equations. Lecture Notes Pure Appl. Math. 152:1994;159-172.
11. Neuman F. On transformations of differential equations and systems with deviating argument. Czechoslovak Math. J. 31:1981;87-90.
12. Neuman F. Transformations and canonical forms of functional-differential equations. Proc. Roy. Soc. Edinburgh Sect. A. 115A:1990;349-357.
13. Pandolfi L. Some observations on the asymptotic behaviors of the solutions of the equationxtAtxtBtxt. J. Math. Anal. Appl. 67:1979;483-489.