04737nam 22008175 450 99646670110331620211103131513.01-280-38226-0978661356017990-481-3797-710.1007/978-90-481-3797-8(CKB)2670000000028991(SSID)ssj0000450394(PQKBManifestationID)11271513(PQKBTitleCode)TC0000450394(PQKBWorkID)10444987(PQKB)11068887(DE-He213)978-90-481-3797-8(MiAaPQ)EBC3065430(PPN)149065558(EXLCZ)99267000000002899120100623d2010 u| 0engurnn#008mamaatxtccrSymmetries of Integro-Differential Equations[electronic resource] With Applications in Mechanics and Plasma Physics /by Sergey V. Meleshko, Yurii N. Grigoriev, N. Kh. Ibragimov, Vladimir F. Kovalev1st ed. 2010.Dordrecht :Springer Netherlands :Imprint: Springer,2010.1 online resource (XIII, 305 p.)Lecture Notes in Physics,0075-8450 ;806Bibliographic Level Mode of Issuance: Monograph90-481-3796-9 Includes bibliographical references and index.to Group Analysis of Differential Equations -- to Group Analysis and Invariant Solutions of Integro-Differential Equations -- The Boltzmann Kinetic Equation and Various Models -- Plasma Kinetic Theory: Vlasov–Maxwell and Related Equations -- Symmetries of Stochastic Differential Equations -- Delay Differential Equations.This book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries. Differential and integro-differential equations, especially nonlinear, present the most effective way for describing complex processes. Therefore, methods to obtain exact solutions of differential equations play an important role in physics, applied mathematics and mechanics. This book provides an easy to follow, but comprehensive, description of the application of group analysis to integro-differential equations. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. It introduces new applications and extensions of the group analysis method. The authors have designed a flexible text for postgraduate courses spanning a variety of topics.Lecture Notes in Physics,0075-8450 ;806Mathematical physicsMechanicsAtomsPhysicsPlasma (Ionized gases)Continuum physicsTheoretical, Mathematical and Computational Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19005Classical Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/P21018Atoms and Molecules in Strong Fields, Laser Matter Interactionhttps://scigraph.springernature.com/ontologies/product-market-codes/P24025Mathematical Methods in Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P19013Plasma Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P24040Classical and Continuum Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/P2100XMathematical physics.Mechanics.Atoms.Physics.Plasma (Ionized gases).Continuum physics.Theoretical, Mathematical and Computational Physics.Classical Mechanics.Atoms and Molecules in Strong Fields, Laser Matter Interaction.Mathematical Methods in Physics.Plasma Physics.Classical and Continuum Physics.530.15535Meleshko Sergey Vauthttp://id.loc.gov/vocabulary/relators/aut1057829Grigoriev Yurii Nauthttp://id.loc.gov/vocabulary/relators/autIbragimov N. Kh(Nailʹ Khaĭrullovich)authttp://id.loc.gov/vocabulary/relators/autKovalev Vladimir Fauthttp://id.loc.gov/vocabulary/relators/autBOOK996466701103316Symmetries of Integro-Differential Equations2494826UNISA