04435nam 2200649 450 991082270620332120220819043419.00-8218-8228-7(CKB)3240000000070072(EBL)3113291(SSID)ssj0000629465(PQKBManifestationID)11394956(PQKBTitleCode)TC0000629465(PQKBWorkID)10731696(PQKB)10679548(MiAaPQ)EBC3113291(RPAM)16741796(PPN)197108792(EXLCZ)99324000000007007220110419h20112011 uy| 0engur|n|---|||||txtccrSymmetries and related topics in differential and difference equations Jairo Charris Seminar 2009, Symmetries of Differential and Difference Equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia /David Blázquez-Sanz, Juan J. Morales-Ruiz, Jesús Rodríguez Lombardero, editorsProvidence, Rhode Island :American Mathematical Society ;[Bogotá, Colombia] :Instituto de Matemáticas y sus Aplicaciones,[2011]©20111 online resource (178 p.)Contemporary mathematics,5490271-4132Description based upon print version of record.0-8218-6872-1 Includes bibliographical references.Contents -- 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.Contemporary mathematics,5490271-4132Symmetry (Mathematics)CongressesDifference equationsCongressesDifferential-algebraic equationsCongressesSymmetry (Mathematics)Difference equationsDifferential-algebraic equations515/.3535A3034M1517B4535C0570A0537J0522F0535A3053A0439A13mscCharris Castañeda Jairo A.Blázquez-Sanz David1980-Morales Ruiz Juan J(Juan José),1953-Lombardero Jesús Rodríguez1961-American Mathematical Society,Universidad Sergio Arboleda.Instituto de Matemáticas y sus Aplicaciones,Jairo Charris SeminarMiAaPQMiAaPQMiAaPQBOOK9910822706203321Symmetries and related topics in differential and difference equations760869UNINA