关于非线性四阶方程x+ax+bẍ+φ(x,ẋ)+d·x=0平凡解稳定性的推广
On Generalization of Stability of the Trivial Solution for the Nonlinear Equation of Order 4 x+ax+bẍ+φ(x, ẋ)+d·x=0
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摘要: 讨论了较为一般的具有3个非线性项的四阶方程平凡解的稳定性,得到了这些方程平凡解稳定的充分条件,推广了Ogutsov等的有关结果。Abstract: In this paper, we discuss stability of the trivial solutions for a more general equation of order 4 with three nonlinear terms. Sufficient conditions for stabilization of trivial solutions of thses equations are obtained and results related to those of Ogutsov et al are extended.
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