Bounded perturbations of forced harmonic oscillators at resonance
Bounded perturbations of forced harmonic oscillators at resonance
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DOI：
10.1007/bf02410787
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发表时间：
1969-12
影响因子：
1
通讯作者：
A. Lazer;D. Leach
中科院分区：
文献类型：
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作者：
A. Lazer;D. Leach
设e是连续的2π周期函数，h是连续的有界函数，n是整数。给出了方程x″+n2x+h(x)= =e(t)的2π周期解存在的充分条件。这些证明是基于对Cesari方法的修正和Schauder不动点定理。
Let e be continuous and 2π-periodic, h continuous and bounded, and n>0 an integer. Sufficient conditions for the existence of 2π-periodic solutions of x″+n2x+h(x)= =e(t) are given. The proofs are based on a modification of Cesari's method and the Schauder fixed point theorem.