关于具有三个非线性项的四阶方程解的稳定性
On the Stability of the Solution of A Set of Four-Order Equations with Three Nonlinear Terms
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摘要: 本文利用文2的一些类似方法,讨论了四类具有三个非线性项的四阶方程零解的稳定性,得到了零解稳定的充分条件,推广了文2与文4的一些相应的结果。Abstract: In this paper,methods similar to those in paper2 are used to discuss the stability of the zero solution of four kinds of four-order equations with three nonlinear terms. Sufficient conditions are obtained for the stability of the zero solution and corresponding results in papers2,4 are thus extended.