2017
Том 69
№ 9

All Issues

Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method

Pham Van Viet, Vu Tuan

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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.

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