TY - JOUR N2 - In the paper, maximal values xe(τ) of the solutions x(t) of the linear differential equations excited by the Dirac delta function are determined. There are obtained the analytical solutions of the equations and also the maximal positive values of these solutions. The obtained sufficient conditions of the positivity of these solutions are defined by the Theorems. There are also formulated the necessary conditions of the positivity of these solutions. The analytical formulae enable the design of the system with prescribed properties [3]. L1 - http://www.czasopisma.pan.pl/Content/116532/PDF/20_585-591_01537_Bpast.No.68-3_30.06.20_K1G.pdf L2 - http://www.czasopisma.pan.pl/Content/116532 PY - 2020 IS - No. 3 EP - 591 DO - 10.24425/bpasts.2020.133376 KW - extremal values KW - transfer function KW - transcendental equations A1 - Górecki, H. A1 - Zaczyk, M. VL - 68 DA - 30.06.2020 T1 - Positive extremal values and solutions of the exponential equations with application to automatics SP - 585 UR - http://www.czasopisma.pan.pl/dlibra/publication/edition/116532 T2 - Bulletin of the Polish Academy of Sciences Technical Sciences ER -