关于四阶非线性方程ẍ+f1(ẍ)ẍ+bẍ+f3(ẋ)+d·x=0平凡解稳定性的推广
On the Generalization of the Stability of the Trivial Solution of A Four-Order Nonlinear Equation ẍ+f1(ẍ)ẍ+bẍ+f3(ẋ)+d·x=0
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摘要: 讨论了两类较为一般的、具有三个非线性项的四阶方程平凡解的稳定性,得到了平凡解稳定的充分条件,推广了文1的相应结果。Abstract: In this paper, we have discussed the stability of the trivial solution of two kinds of more generalized four-order equations with three nonlinear terms. Sufficient conditions are obtained for the stability of the trivial solution and corresponding findings in paper (1) are thus extended.
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