A NEW METHOD FOR THE BOUNDEDNESS OF SEMILINEAR DUFFING EQUATIONS AT RESONANCE
A NEW METHOD FOR THE BOUNDEDNESS OF SEMILINEAR DUFFING EQUATIONS AT RESONANCE
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共振半线性杜芬方程有界性的新方法
DOI：
10.3934/dcds.2016.36.3961
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发表时间：
2016
影响因子：
1.1
通讯作者：
Piao D.
中科院分区：
文献类型：
--
作者：
Wang Z.;Wang Y.;Piao D.
介绍了一种新的方法来求解半线性Dung方程的有界性问题。特别地，它可以用于研究一类半线性方程的共振性，而不需要多项式增长条件。作为应用，我们证明了方程x+n2x+g(X)+(X)=p(T)在g和p上的Lazer-Leach条件下所有解的有界性，其中n2N+，p(T)和(X)是周期的，g(X)是有界的。
We introduce a new method for the boundedness problem of semilinear.Dung equations at resonance. In particular, it can be used to study a.class of semilinear equations at resonance without the polynomial-like growth.condition. As an application, we prove the boundedness of all the solutions for.the equation x+n2x+g(x)+ (x) = p(t) under the Lazer-Leach condition on.g and p, where n 2 N+, p(t) and (x) are periodic and g(x) is bounded.