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Differential equations with piecewise constant argument describe various phenomena, e.g., in biology, mechanics and electronics. Here we study a special case of these equations, namely, the equation of the form u'=F([t],u([t]))+g(t), where [t] stands for the greatest integer function and F a g are continuous functions. Our program is designed to find the solution of such equation on the interval [t0, t0+n] if the initial condition u(t0)=u0 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. Further, the values of the solution at chosen points can be computed and the graph of the solution is shown.

differential equation, piecewise constant argument

2. 12. 2013

Server UMAT FEKT VUT v Brně, Technická 8, 616 00 Brno

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http://matika.umat.feec.vutbr.cz/software/maplenet/diffEqPCA.html