software

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, a system of equations of the form u1'=F1([t],u1([t]),u2([t]))+g1(t), u2'=F2([t],u1([t]),u2([t]))+g2(t), where [t] stands for the greatest integer function and F1, F2, g1 and g2 are continuous functions. Our program is designed to find the solution of such system on the interval [t0, t0+n] if the initial condition u1(t0)=u10, u2(t0)=u20 is given. The solution is found stepwise - on each interval [t0+i-1, t0+i], i=1,...,n, separately. The values of the solution at chosen points can be computed. Further, the graph of the can be shown - the user can choose between several types of graphs (u1 or/and u2 in 2D, a 3D curve or a phase portrait).

differential equation; piecewise constant argument

8. 12. 2014

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

K využití výsledku jiným subjektem je vždy nutné nabytí licence

Poskytovatel licence na výsledek nepožaduje licenční poplatek

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