Stability Analysis of Impulsive Functional Differential Equations

Stability Analysis of Impulsive Functional Differential Equations
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DOI:
10.1515/9783110221824
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发表时间:
2009-11
期刊:
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影响因子:
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通讯作者:
I. Stamova
I. Stamova
中科院分区:
其他
文献类型:
--
作者:
I. Stamova

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本书致力于脉冲泛函微分方程,它是脉冲常微分方程(无延迟)和泛函微分方程(无脉冲)的自然推广。目前,这类方程的定性理论正在迅速发展。在介绍了解的存在性、唯一性和可持续性的基本理论之后,给出了这类问题的稳定性理论的系统发展,这使得本书独一无二。它面向数学家、应用研究人员和实践者等广泛受众。
This book is devoted to impulsive functional differential equations which are a natural generalization of impulsive ordinary differential equations (without delay) and of functional differential equations (without impulses). At the present time the qualitative theory of such equationsis under rapid development. After a presentation of the fundamental theory of existence, uniqueness and continuability of solutions, a systematic development of stability theory for that class of problems is given which makes the book unique. It addresses to a wide audience such as mathematicians, applied researches and practitioners.