LEADER 04435nam 2200649 450 001 9910822706203321 005 20220819043419.0 010 $a0-8218-8228-7 035 $a(CKB)3240000000070072 035 $a(EBL)3113291 035 $a(SSID)ssj0000629465 035 $a(PQKBManifestationID)11394956 035 $a(PQKBTitleCode)TC0000629465 035 $a(PQKBWorkID)10731696 035 $a(PQKB)10679548 035 $a(MiAaPQ)EBC3113291 035 $a(RPAM)16741796 035 $a(PPN)197108792 035 $a(EXLCZ)993240000000070072 100 $a20110419h20112011 uy| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSymmetries and related topics in differential and difference equations $eJairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matema?ticas, Universidad Sergio Arboleda, Bogota?, Colombia /$fDavid Bla?zquez-Sanz, Juan J. Morales-Ruiz, Jesu?s Rodri?guez Lombardero, editors 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society ;$a[Bogota?, Colombia] :$cInstituto de Matema?ticas y sus Aplicaciones,$d[2011] 210 4$dİ2011 215 $a1 online resource (178 p.) 225 1 $aContemporary mathematics,$v549$x0271-4132 300 $aDescription based upon print version of record. 311 $a0-8218-6872-1 320 $aIncludes bibliographical references. 327 $aContents -- Jairo Charris, The mathematician, The seminar -- Preface -- A reduction method for higher order variational equations of Hamiltonian systems -- A survey on integration of parabolic equations by reducing them to the heat equation -- 1. Introduction -- 2. Reduction by transformation (1.2) -- 3. Applications of Theorem 2.1 -- 4. Reduction by general equivalence transformation -- References -- Weil jets, Lie correspondences and applications -- Introduction -- 1. Jets of submanifolds -- 2. Lie correspondences between jet spaces -- 3. Prolongations and correspondences. -- 4. Characteristics, singular vector fields and correspondences -- 5. Symmetries and Lie correspondences -- 6. Projections, transversality and the process of reduction by symmetries -- Acknowledgments -- References -- Some applications of summability: An illustrated survey -- The structure of time and inertial forces in Lagrangian mechanics -- Introduction -- 0. Notations and definitions -- 1. Structure of a second order differential equation relative to a metric -- 2. Newton-Lagrange mechanics of a free system -- 3. Constrained systems -- 4. The class of time and the calculus of variations -- 5. Time constraints -- 6. Modification caused by a time constraint in a free system -- 7. Linear constraints depending on time -- 8. Reference frames and inertial forces -- Acknowledgements. -- References -- Differential invariant algebras -- 1. Introduction. -- 2. Moving Frames and Differential Invariants. -- 3. Equivariant Moving Frames. -- 4. Recurrence. -- 5. Generating Invariants. -- 6. Differential Invariant Algebras of Pseudo-Groups. -- References -- The Stokes phenomenon for linear q-difference equations -- 1. Introduction -- 2. Some background -- 3. Some examples around the q-Euler equation -- References -- Finite Hamiltonian systems on phase space. 410 0$aContemporary mathematics,$v549$x0271-4132 606 $aSymmetry (Mathematics)$vCongresses 606 $aDifference equations$vCongresses 606 $aDifferential-algebraic equations$vCongresses 615 0$aSymmetry (Mathematics) 615 0$aDifference equations 615 0$aDifferential-algebraic equations 676 $a515/.35 686 $a35A30$a34M15$a17B45$a35C05$a70A05$a37J05$a22F05$a35A30$a53A04$a39A13$2msc 702 $aCharris Castan?eda$b Jairo A. 702 $aBla?zquez-Sanz$b David$f1980- 702 $aMorales Ruiz$b Juan J$g(Juan Jose?),$f1953- 702 $aLombardero$b Jesu?s Rodri?guez$f1961- 712 02$aAmerican Mathematical Society, 712 02$aUniversidad Sergio Arboleda.$bInstituto de Matema?ticas y sus Aplicaciones, 712 12$aJairo Charris Seminar 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910822706203321 996 $aSymmetries and related topics in differential and difference equations$9760869 997 $aUNINA