带阻尼项的Duffing方程解的无界性

Unboundedness of Solutions of Duffing Equations with Damping Term

摘要: 在比较容易验证的条件下，本文证明了带有阻尼项的Duffing方程xⁿ+cx^,+h(x)=p(t)和xⁿ+cx^,=p(t)h(x)的所有解都是无界的。

Abstract: In this article, we prove the unboundedness of solutions for the Duffing equations with damping term xⁿ+cx^,+h(x)=p(t) and xⁿ+cx^,=p(t)h(x) under some easier testing conditions.

文章引用：陈甜甜, 张沛文, 韩春瑞. 带阻尼项的Duffing方程解的无界性[J]. 理论数学, 2016, 6(3): 127-133. http://dx.doi.org/10.12677/PM.2016.63019

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