Annotation

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.

Technical Info

The software will launch in a separate window. Java (free) must be installed on a client computer. When launching the software the browser might display a security warning and ask whether to block a potentially dangerous content. Click No (i.e. don't block).

When closing the software we recommend to close the browser tab that opened it. When closing the application itself (not the browser tab), the browser might attempt to recover the tab which might result in the browser crash. You can prevent this by disabling the automatic crash recovery feature of your browser.

Licence Agreement

You may use the software for research and scientific activities free of charge. In all other cases contact RNDr. M. Novák, Ph.D., Vysoké učení technické v Brně, UMAT FEKT, Technická 8, 616 00 Brno, email: novakm@feec.vutbr.cz, phone: 541143135.

Authors and Acknowledgement

I. Hlavičková, G. Piddubna supported by FEKT-S-11-2/921 "Vlastnosti řešení funkcionálních diferenciálních a diferenčních rovnic"