关于一类非线性四阶方程平凡解稳定性的推广
On Generalization of Stability of the Trivial Solution for A Nonlinear Equation of Order Four
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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Cartwright等的有关结果。Abstract: We discuss stability of the trivial solutions for a more general equation of order 4 with three nonlinear terms. Sufficient conditions for stabitization of trivial solutions of these equations are obtained and results related to those of Cartwright et al are extended.