Global existence of solutions for a class of nonlinear differential equations
نویسندگان
چکیده
By making use of a special Lyapunov-type function and applying the comparison method due to Conti, we prove global existence of solutions for a general class of nonlinear secondorder differential equations that includes, in particular, van der Pol, Rayleigh, and Lienard equations, widely encountered in applications. Relevant examples are discussed. @ 2003 Elsevier Science Ltd. All rights reserved. Keywords-Global existence, Generalized Lienard system, Lyapunov-type function, Comparison method.
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عنوان ژورنال:
- Appl. Math. Lett.
دوره 16 شماره
صفحات -
تاریخ انتشار 2003