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作者 Perestyuk, Nikolai A
書名 Differential Equations with Impulse Effects : Multivalued Right-hand Sides with Discontinuities
出版項 Berlin/Boston : De Gruyter, Inc., 2011
©2011
國際標準書號 9783110218176 (electronic bk.)
9783110218169
book jacket
說明 1 online resource (324 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
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 π-Derivative -- 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 π-Derivative -- 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'skii-Krein 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 Right-Hand Side -- 7.1 Motions and Quasimotions -- 7.2 Impulsive Motions and Quasimotions
7.3 Euler Quasibroken Lines -- A Some Elements of Set-Valued Analysis -- B Differential Inclusions -- References -- Index
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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 Right-hand 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
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