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1. Divergent Series, Summability and Resurgence I : Monodromy and Resurgence
by Claude Mitschi, David Sauzin
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2153
オンライン: http://dx.doi.org/10.1007/978-3-319-28736-2
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Preface.-Preface to the three volumes
Part I:Monodromy in Linear Differential Equations
1 analytic continuation and monodromy
Differential Galois Theory
Inverse Problems
The Riemann-Hilbert problem
Part II: Introduction to 1-Summability and Resurgence
5 Borel-Laplace Summation
Resurgent Functions and Alien Calculus
the Resurgent Viewpoint on Holomorphic Tangent-to-Identity Germs
Acknowledgements
Index
Preface.-Preface to the three volumes
Part I:Monodromy in Linear Differential Equations
1 analytic continuation and monodromy
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2. Divergent Series, Summability and Resurgence II : Simple and Multiple Summability
by Michèle Loday-Richaud
出版情報: Cham : Springer International Publishing : Imprint: Springer, 2016
シリーズ名: Lecture Notes in Mathematics ; 2154
オンライン: http://dx.doi.org/10.1007/978-3-319-29075-1
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Avant-propos
Preface to the three volumes
Introduction to this volume
1 Asymptotic Expansions in the Complex Domain
2 Sheaves and Čech cohomology
3 Linear Ordinary Differential Equations
4 Irregularity and Gevrey Index Theorems
5 Four Equivalent Approaches to k-Summability
6 Tangent-to-Identity Diffeomorphisms
7 Six Equivalent Approaches to Multisummability
Exercises
Solutions to Exercises
Index
Glossary of Notations
References
Avant-propos
Preface to the three volumes
Introduction to this volume
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3. Stability and Bifurcation Theory for Non-Autonomous Differential Equations : Cetraro, Italy 2011, Editors: Russell Johnson, Maria Patrizia Pera
by Anna Capietto, Peter Kloeden, Jean Mawhin, Sylvia Novo, Rafael Ortega
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2065
オンライン: http://dx.doi.org/10.1007/978-3-642-32906-7
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The Maslov index and global bifurcation for nonlinear boundary value problems
Discrete-time nonautonomous dynamical systems
Resonance problems for some non-autonomous ordinary differential equations
Non-autonomous functional differential equations and applications
Twist mappings with non-periodic angles
The Maslov index and global bifurcation for nonlinear boundary value problems
Discrete-time nonautonomous dynamical systems
Resonance problems for some non-autonomous ordinary differential equations
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4. Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications : Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou
by Yves Achdou, Guy Barles, Hitoshi Ishii, Grigory L. Litvinov
出版情報: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013
シリーズ名: Lecture Notes in Mathematics ; 2074
オンライン: http://dx.doi.org/10.1007/978-3-642-36433-4
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Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
Idempotent/Tropical Analysis, the Hamilton-Jacobi and Bellman Equations
Finite Difference Methods For Mean Field Games
An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton-Jacobi Equations and Applications
A Short Introduction to Viscosity Solutions and the Large Time Behavior of Solutions of Hamilton-Jacobi Equations
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5. Transseries and Real Differential Algebra
by Joris Hoeven
出版情報: Berlin, Heidelberg : Springer-Verlag Berlin Heidelberg, 2006
シリーズ名: Lecture Notes in Mathematics ; 1888
オンライン: http://dx.doi.org/10.1007/3-540-35590-1
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