LEADER 04739nam 22008175 450 001 9910140569003321 005 20211103131513.0 010 $a1-280-38226-0 010 $a9786613560179 010 $a90-481-3797-7 024 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 $a20100623d2010 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aSymmetries of Integro-Differential Equations$b[electronic resource] $eWith Applications in Mechanics and Plasma Physics /$fby Sergey V. Meleshko, Yurii N. Grigoriev, N. Kh. Ibragimov, Vladimir F. Kovalev 205 $a1st ed. 2010. 210 1$aDordrecht :$cSpringer Netherlands :$cImprint: Springer,$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 0 $a90-481-3796-9 320 $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,$x0075-8450 ;$v806 606 $aMathematical physics 606 $aMechanics 606 $aAtoms 606 $aPhysics 606 $aPlasma (Ionized gases) 606 $aContinuum physics 606 $aTheoretical, Mathematical and Computational Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19005 606 $aClassical Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/P21018 606 $aAtoms and Molecules in Strong Fields, Laser Matter Interaction$3https://scigraph.springernature.com/ontologies/product-market-codes/P24025 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aPlasma Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P24040 606 $aClassical and Continuum Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P2100X 615 0$aMathematical physics. 615 0$aMechanics. 615 0$aAtoms. 615 0$aPhysics. 615 0$aPlasma (Ionized gases). 615 0$aContinuum physics. 615 14$aTheoretical, Mathematical and Computational Physics. 615 24$aClassical Mechanics. 615 24$aAtoms and Molecules in Strong Fields, Laser Matter Interaction. 615 24$aMathematical Methods in Physics. 615 24$aPlasma Physics. 615 24$aClassical and Continuum Physics. 676 $a530.15535 700 $aMeleshko$b Sergey V$4aut$4http://id.loc.gov/vocabulary/relators/aut$01057829 702 $aGrigoriev$b Yurii N$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aIbragimov$b N. Kh$g(Nail? Khai?rullovich)$4aut$4http://id.loc.gov/vocabulary/relators/aut 702 $aKovalev$b Vladimir F$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a9910140569003321 996 $aSymmetries of Integro-Differential Equations$92494826 997 $aUNINA