03976nam 2200697 a 450 991081213030332120240514030257.01-283-39862-197866133986283-11-021816-X10.1515/9783110218176(CKB)2670000000113687(EBL)765856(OCoLC)748242184(SSID)ssj0000559683(PQKBManifestationID)11955530(PQKBTitleCode)TC0000559683(PQKBWorkID)10567202(PQKB)10238425(MiAaPQ)EBC765856(WaSeSS)Ind00010340(DE-B1597)36513(OCoLC)881293041(DE-B1597)9783110218176(Au-PeEL)EBL765856(CaPaEBR)ebr10502344(CaONFJC)MIL339862(PPN)175502714(EXLCZ)99267000000011368720110324d2011 uy 0engurnn#---|u||utxtccrDifferential equations with impulse effects multivalued right-hand sides with discontinuities /by Nikolai A. Perestyuk ... [et al.]1st ed.Berlin ;Boston De Gruyterc20111 online resource (324 p.)De Gruyter studies in mathematics,0179-0986 ;40Description based upon print version of record.3-11-021817-8 Includes bibliographical references and index.Front matter --Introduction --Notation --Contents --Chapter 1. Impulsive Differential Equations --Chapter 2. Impulsive Differential Inclusions --Chapter 3. Linear Impulsive Differential Inclusions --Chapter 4. Linear Systems with Multivalued Trajectories --Chapter 5. Method of Averaging in Systems with Pulse Action --Chapter 6. Averaging of Differential Inclusions --Chapter 7. Differential Equations with Discontinuous Right-Hand Side --Appendix A. Some Elements of Set-Valued Analysis --Appendix B. Differential Inclusions --References --IndexSignificant 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.De Gruyter studies in mathematics ;40.Impulsive differential equationsJump Conditions.Systems of Linear Ordinary Differential Equations.Impulsive differential equations.515/.353SK 520rvkPerestyuk Nikolai A.1621215Peresti͡uk N. A(Nikolaĭ Alekseevich)1621216MiAaPQMiAaPQMiAaPQBOOK9910812130303321Differential equations with impulse effects3954390UNINA