說明 
1 online resource (324 pages) 

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系列 
De Gruyter Studies in Mathematics Ser. ; v.40 

De Gruyter Studies in Mathematics Ser

附註 
Intro  Introduction  Notation  1 Impulsive Differential Equations  1.1 General Characterization of Systems of Impulsive Differential Equations  1.2 Linear Systems  2 Impulsive Differential Inclusions  2.1 Differential Inclusions with Fixed Times of Pulse Action  2.2 Differential Inclusions with Nonfixed Times of Pulse Action  2.3 Examples  3 Linear Impulsive Differential Inclusions  3.1 Statement of the Problem. Theorem on Existence and Uniqueness  3.2 Stability of Solutions of Linear Impulsive Differential Inclusions  3.3 Periodic Solutions of Linear Impulsive Differential Inclusions  3.4 Linear Differential Equations with Pulse Action at Indefinite Times  4 Linear Systems with Multivalued Trajectories  4.1 Differential Equations with Hukuhara Derivative  4.2 Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with Hukuhara Derivative  4.3 Linear Differential Equations with πDerivative  4.4 Extension of the Space conv(Rn) for n = 1  4.5 Approximation of the Integral Funnel of a Linear Differential Inclusion with the Help of Systems of Differential Equations with πDerivative  5 Method of Averaging in Systems with Pulse Action  5.1 Oscillating System with One Degree of Freedom  5.2 Systems with Fixed Times of the Pulse Action  5.3 Systems with Nonfixed Times of the Pulse Action  6 Averaging of Differential Inclusions  6.1 Averaging of Inclusionswith Pulses at Fixed Times  6.2 Krasnosel'skiiKrein Theorem for Differential Inclusions  6.3 Averaging of Inclusions with Pulses at Nonfixed Times  6.4 Averaging of Impulsive Differential Equations with Hukuhara Derivative  7 Differential Equations with Discontinuous RightHand Side  7.1 Motions and Quasimotions  7.2 Impulsive Motions and Quasimotions 

7.3 Euler Quasibroken Lines  A Some Elements of SetValued Analysis  B Differential Inclusions  References  Index 

The series is devoted to the publication of monographs and highlevel textbooks in mathematics, mathematical methods and their applications. Apart from covering important areas of current interest, a major aim is to make topics of an interdisciplinary nature accessible to the nonspecialist. The works in this series are addressed to advanced students and researchers in mathematics and theoretical physics. In addition, it can serve as a guide for lectures and seminars on a graduate level. The series de Gruyter Studies in Mathematics was founded ca. 30 years ago by the late Professor Heinz Bauer and Professor Peter Gabriel with the aim to establish a series of monographs and textbooks of high standard, written by scholars with an international reputation presenting current fields of research in pure and applied mathematics. While the editorial board of the Studies has changed with the years, the aspirations of the Studies are unchanged. In times of rapid growth of mathematical knowledge carefully written monographs and textbooks written by experts are needed more than ever, not least to pave the way for the next generation of mathematicians. In this sense the editorial board and the publisher of the Studies are devoted to continue the Studies as a service to the mathematical community. Please submit any book proposals to Niels Jacob 

Description based on publisher supplied metadata and other sources 

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2020. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries 
鏈接 
Print version: Perestyuk, Nikolai A. Differential Equations with Impulse Effects : Multivalued Righthand Sides with Discontinuities
Berlin/Boston : De Gruyter, Inc.,c2011 9783110218169

主題 
Impulsive differential equations


Electronic books

Alt Author 
Plotnikov, Viktor A


Samoilenko, Anatolii M


Skripnik, Natalia V


Malyshev, Peter V

