On stability of differential equations with piecewise constant argument using dichotomic maps
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Data
2011-02-08
Autores
Marconato, S. A S [UNESP]
Bená, M. A.
Spezamiglio, A. [UNESP]
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Resumo
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.
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Dichotomic maps, Liapunov stability, Piecewise constant argument
Como citar
Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 18, n. 2, p. 257-268, 2011.