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.
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Published in Ukrains’kyi Matematychnyi Zhurnal, Vol. 56, No. 10, pp. 1321 – 1334, October, 2004.
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Vu, T., Van Pham, V. Stability of Solutions of a Quasilinear Index-2 Tractable Differential Algebraic Equation by the Lyapunov Second Method. Ukr Math J 56, 1574–1593 (2004). https://doi.org/10.1007/s11253-005-0135-5
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DOI: https://doi.org/10.1007/s11253-005-0135-5