Basic Theory for Nonresonance Impulsive Periodic Problems of First Order

Basic Theory for Nonresonance Impulsive Periodic Problems of First Order
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DOI:
10.1006/jmaa.1997.5207
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发表时间:
1997-01
影响因子:
1.3
通讯作者:
J. Nieto
J. Nieto
中科院分区:
数学3区
文献类型:
--
作者:
J. Nieto

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摘要研究了一类一阶非线性常微分方程在固定时刻脉冲作用下周期边值问题解的存在性。我们开发的线性情况下的基本结果,然后我们研究的非线性问题扩展已知的结果时,脉冲是缺席的。
Abstract We study the existence of solutions for a nonlinear ordinary differential equation of first order with periodic boundary value conditions and subjected to impulse actions at fixed moments. We develop basic results for the linear situation and then we study the nonlinear problem extending known results when the impulses are absent.