03083nam 2200589 a 450 991014056900332120200520144314.09786613560179978128038226012803822609789048137978904813797710.1007/978-90-481-3797-8(CKB)2670000000028991(SSID)ssj0000450394(PQKBManifestationID)11271513(PQKBTitleCode)TC0000450394(PQKBWorkID)10444987(PQKB)11068887(DE-He213)978-90-481-3797-8(MiAaPQ)EBC3065430(PPN)149065558(EXLCZ)99267000000002899120100614d2010 uy 0engurnn#008mamaatxtccrSymmetries of integro-differential equations with applications in mechanics and plasma physics /Y.N. Grigoriev ... [et al.]1st ed.New York Springer20101 online resource (XIII, 305 p.)Lecture notes in physics,0075-8450 ;806Bibliographic Level Mode of Issuance: Monograph9789048137961 9048137969 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 ;806.Integro-differential equationsIntegro-differential equations.530.15535Grigoriev Y. N(Yurii N.)1756704MiAaPQMiAaPQMiAaPQBOOK9910140569003321Symmetries of integro-differential equations4194150UNINA