On the partial stability of solutions of quasilinear index-1 tractable differential algebraic equations (Q2431867)

Quasilinear index-1 tractable differential algebraic equations are considered. It is supposed that these equations have a zero solution. Some new definitions of partial stability, partial asymptotical stability, partial \(\varphi\)-asymptotical stability, partial exponential-asymptotical stability are given. Theorems on partial stability, partial asymptotical stability are formulated and proved.