Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method
Abstract
The Lyapunov second method is an important tool in the qualitative theory of ordinary differential equations. In this paper, we consider the behavior of solutions of quasilinear index-2 tractable differential algebraic equations. Using the Lyapunov second method, we prove sufficient conditions for the stability of zero solution of such equations.
English version (Springer): Ukrainian Mathematical Journal 56 (2004), no. 10, pp 1574-1593.
Citation Example: Pham Van Viet, Vu Tuan Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method // Ukr. Mat. Zh. - 2004. - 56, № 10. - pp. 1321-1334.
Full text