带阻尼项的Duffing方程解的无界性
Unboundedness of Solutions of Duffing Equations with Damping Term

DOI: 10.12677/PM.2016.63019, PP. 127-133

Keywords: 无界解，Duffing方程，阻尼项
Unbounded Solutions, Duffing Equations, Damping Term

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Abstract:

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。
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.

References

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