Oscillatory property of ordinary differential equations of arbitrary order
Oscillatory property of ordinary differential equations of arbitrary order
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任意阶常微分方程的振荡性质
DOI：
10.1016/0022-0396(70)90093-8
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发表时间：
1970
期刊：
影响因子：
--
通讯作者：
H. Onose
中科院分区：
文献类型：
--
作者：
H. Onose
这里我们将证明定理1的条件也是定理成立的必要条件。我们还将推广JW Wong的结果141。假设所有考虑的函数在其定义域上是连续的和实值的，并且它们保证了对于大的t（n总是假设> l），（*）的解的存在性。在下文中，我们只考虑对所有充分大的t都是非平凡的解。
Here we shall prove that the conditions of Theorem 1 are also necessary for the theorem to hold. We shall also generalize JW Wong’s result 141. All functions considered are supposed to be continuous and real-valued on their domains, and such that they guarantee the existence of solutions of (*) for large t (n will always be supposed to be> l). In what follows, we consider only such solutions that are nontrivial for all sufficiently large t.