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100   $a20110324d2011      uy             0
101 0 $aeng
135   $aurnn#---|u||u
181   $ctxt
182   $cc
183   $acr
200 00$aDifferential equations with impulse effects$b[electronic resource] $emultivalued right-hand sides with discontinuities /$fby Nikolai A. Perestyuk ... [et al.]
210   $aBerlin ;$aBoston $cDe Gruyter$dc2011
215   $a1 online resource (324 p.)
225 1 $aDe Gruyter studies in mathematics,$x0179-0986 ;$v40
300   $aDescription based upon print version of record.
311 0 $a3-11-021817-8 
320   $aIncludes bibliographical references and index.
327   $tFront matter --$tIntroduction --$tNotation --$tContents --$tChapter 1. Impulsive Differential Equations --$tChapter 2. Impulsive Differential Inclusions --$tChapter 3. Linear Impulsive Differential Inclusions --$tChapter 4. Linear Systems with Multivalued Trajectories --$tChapter 5. Method of Averaging in Systems with Pulse Action --$tChapter 6. Averaging of Differential Inclusions --$tChapter 7. Differential Equations with Discontinuous Right-Hand Side --$tAppendix A. Some Elements of Set-Valued Analysis --$tAppendix B. Differential Inclusions --$tReferences --$tIndex
330   $aSignificant interest in the investigation of systems with discontinuous trajectories is explained by the development of equipment in which significant role is played by impulsive control systems and impulsive computing systems. Impulsive systems are also encountered in numerous problems of natural sciences described by mathematical models with conditions reflecting the impulsive action of external forces with pulses whose duration can be neglected. Differential equations with set-valued right-hand side arise in the investigation of evolution processes in the case of measurement errors, inaccuracy or incompleteness of information, action of bounded perturbations, violation of unique solvability conditions, etc. Differential inclusions also allow one to describe the dynamics of controlled processes and are widely used in the theory of optimal control. This monograph is devoted to the investigation of impulsive differential equations with set-valued and discontinuous right-hand sides. It is intended for researchers, lecturers, postgraduate students, and students of higher schools specialized in the field of the theory of differential equations, the theory of optimal control, and their applications.
410  0$aDe Gruyter studies in mathematics ;$v40.
606   $aImpulsive differential equations
610   $aJump Conditions.
610   $aSystems of Linear Ordinary Differential Equations.
615  0$aImpulsive differential equations.
676   $a515/.353
686   $aSK 520$2rvk
700   $aPerestyuk$b Nikolai A.$01462878
701   $aPeresti?uk$b N. A$g(Nikolai? Alekseevich)$01462879
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910789638703321
996   $aDifferential equations with impulse effects$93672018
997   $aUNINA