Otro
On stability of differential equations with piecewise constant argument using dichotomic maps
Registro en:
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 18, n. 2, p. 257-268, 2011.
1201-3390
2-s2.0-79551581258
Autor
Marconato, S. A S
Bená, M. A.
Spezamiglio, A.
Resumen
This paper deals with the study of the basic theory of existence, uniqueness and continuation of solutions of di®erential equations with piecewise constant argument. Results about asymptotic stability of the equation x(t) =-bx(t) + f(x([t])) with argu- ment [t], where [t] designates the greatest integer function, are established by means of dichotomic maps. Other example is given to illustrate the application of the method. Copyright © 2011 Watam Press.