LEADER 03083nam 2200589 a 450 001 9910140569003321 005 20200520144314.0 010 $a9786613560179 010 $a9781280382260 010 $a1280382260 010 $a9789048137978 010 $a9048137977 024 7 $a10.1007/978-90-481-3797-8 035 $a(CKB)2670000000028991 035 $a(SSID)ssj0000450394 035 $a(PQKBManifestationID)11271513 035 $a(PQKBTitleCode)TC0000450394 035 $a(PQKBWorkID)10444987 035 $a(PQKB)11068887 035 $a(DE-He213)978-90-481-3797-8 035 $a(MiAaPQ)EBC3065430 035 $a(PPN)149065558 035 $a(EXLCZ)992670000000028991 100 $a20100614d2010 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymmetries of integro-differential equations $ewith applications in mechanics and plasma physics /$fY.N. Grigoriev ... [et al.] 205 $a1st ed. 210 $aNew York $cSpringer$d2010 215 $a1 online resource (XIII, 305 p.) 225 1 $aLecture notes in physics,$x0075-8450 ;$v806 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a9789048137961 311 08$a9048137969 320 $aIncludes bibliographical references and index. 327 $ato 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. 330 $aThis book aims to coherently present applications of group analysis to integro-differential equations in an accessible way. The book will be useful to both physicists and mathematicians interested in general methods to investigate nonlinear problems using symmetries. Differential and integro-differential equations, especially nonlinear, present the most effective way for describing complex processes. Therefore, methods to obtain exact solutions of differential equations play an important role in physics, applied mathematics and mechanics. This book provides an easy to follow, but comprehensive, description of the application of group analysis to integro-differential equations. The book is primarily designed to present both fundamental theoretical and algorithmic aspects of these methods. It introduces new applications and extensions of the group analysis method. The authors have designed a flexible text for postgraduate courses spanning a variety of topics. 410 0$aLecture notes in physics ;$v806. 606 $aIntegro-differential equations 615 0$aIntegro-differential equations. 676 $a530.15535 700 $aGrigoriev$b Y. N$g(Yurii N.)$01756704 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910140569003321 996 $aSymmetries of integro-differential equations$94194150 997 $aUNINA