一类非线性四阶方程平凡解稳定性的讨论
Discussion of Stability of the Trivial Solution for a Nonlinear Equation of Order Four
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摘要: 讨论了一类具有2个非线性项的更为一般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Ogurtsov A I的相应结果。Abstract: Discussed the stability of the trivial solution for a more general equation of order four with two nonlinear terms.Sufficient cinditions are obtained for stability of these equations trivial solution and the corresponding results in Ogurtsov A I are extended.