Existence and impulsive stability for second order retarded differential equations

Applied Mathematics and Computation

Volumn 177, Issue 1, 2006, Pages 44-62

  Gimenes, L P ^a   Federson, M ^a  

^a UNIVERSITY OF SÃO PAULO   (Brazil)

Author keywords

Delay differential equations; Existence; Impulsive stability; Lyapunov functionals

Indexed keywords

BOUNDARY CONDITIONS; LYAPUNOV METHODS; PROBLEM SOLVING;

DELAY DIFFERENTIAL EQUATIONS; EXISTENCE; IMPULSIVE STABILITY; LYAPUNOV FUNCTIONALS; NON IMPULSIVE EQUATIONS;

DIFFERENTIAL EQUATIONS;

EID: 33744545799     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2005.10.038     Document Type: Article

References (5)

1. Koslov V.V., and Treshcheëv D.V. Billiards-A Genetic Introduction to the Dynamics of Systems with Impacts (1991), Am. Math. Soc., Providence, RI
2. Li X., and Weng P. Impulsive stabilization of two kinds of second-order linear delay differential equations. J. Math. Anal. Appl. 291 (2004) 270-281
3. Benchohra M., Henderson J., Ntouyas S.K., and Quahabi A. Higher order impulsive functional differential equations with variable times. Dyn. Syst. Appl. 12 (2003) 383-392
4. Smart D.R. Fixed Point Theorems (1974), Cambridge University Press, Cambridge
5. Yang K. Delay Differential Equations with Applications in Populational Dynamics (1993), Academic Press, San Diego