Article citationsMore>>

Yan, P. and Jiang, J.F. (2000) A Necessary and Sufficient Condition for Oscillation of the Generalized Liénard System. Mathematica Applicata, 13, 16-20.

has been cited by the following article:

• TITLE: Necessary and Sufficient Conditions for Oscillations of the Generalized Liénard Systems

  AUTHORS: Hongtao Zhang, Xiaolin Liu, Ping Yan

  KEYWORDS: Generalized Liénard System, Nonlinear Integral Inequality, Oscillation

  JOURNAL NAME: Applied Mathematics, Vol.15 No.6, June 26, 2024

  ABSTRACT: In this paper, we study the second-order nonlinear differential systems of Liénard-type x ˙ = 1 a( x ) [ h( y )−F( x ) ] , y ˙ =−a( x )g( x ) . Necessary and sufficient conditions to ensure that all nontrivial solutions are oscillatory are established by using a new nonlinear integral inequality. Our results substantially extend and improve previous results known in the literature.