On a new class of abstract impulsive differential equations
On a new class of abstract impulsive differential equations
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DOI：
10.1090/s0002-9939-2012-11613-2
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发表时间：
2012-10
期刊：
影响因子：
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通讯作者：
E. Hernández;D. O’Regan
中科院分区：
文献类型：
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作者：
E. Hernández;D. O’Regan
本文引入了一类新的抽象脉冲微分方程，其脉冲不是瞬时的。本文引入了温和解和经典解的概念，并建立了这两类解的存在性的一些结果。一个例子涉及一个偏微分方程。
In this note we introduce a new class of abstract impulsive differential equations for which the impulses are not instantaneous. We introduce the concepts of mild and classical solution and we establish some results on the existence of these types of solutions. An example involving a partial differential equation is presented.