Publicação: On stability of differential equations with piecewise constant argument using dichotomic maps
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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
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Inglês
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Dynamics of Continuous, Discrete and Impulsive Systems Series A: Mathematical Analysis, v. 18, n. 2, p. 257-268, 2011.
