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1.

図書

図書
Ernst Hairer, Christian Lubich, Gerhard Wanner
出版情報: Berlin ; Tokyo : Springer, c2002  xiii, 515 p. ; 24 cm
シリーズ名: Springer series in computational mathematics ; v. 31
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2.

図書

図書
Y. Eliashberg, N. Mishachev
出版情報: Providence, R.I. : American Mathematical Society, c2002  xvii, 206 p. ; 26 cm
シリーズ名: Graduate studies in mathematics ; v. 48
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目次情報: 続きを見る
Intrigue Holonomic approximation: Jets and holonomy
Thom transversality theorem Holonomic approximation
Applications Differential relations and Gromov's $h$-principle: Differential relations
Homotopy principle Open Diff $V$-invariant differential relations
Applications to closed manifolds
The homotopy principle in symplectic geometry: Symplectic and contact basics
Symplectic and contact structures on open manifolds
Symplectic and contact structures on closed manifolds
Embeddings into symplectic and contact manifolds
Microflexibility and holonomic $\mathcal{R}$-approximation
First applications of microflexibility
Microflexible $\mathfrak{U}$-invariant differential relations
Further applications to symplectic geometry
Convex integration: One-dimensional convex integration
Homotopy principle for ample differential relations
Directed immersions and embeddings
First order linear differential operators Nash-Kuiper theorem
Bibliography
Index
Intrigue Holonomic approximation: Jets and holonomy
Thom transversality theorem Holonomic approximation
Applications Differential relations and Gromov's $h$-principle: Differential relations
3.

図書

図書
by Maria do Rosário Grossinho and Stepan Agop Tersian
出版情報: Dordrecht : Kluwer Academic Publishers, c2001  xii, 269 p. ; 25 cm
シリーズ名: Nonconvex optimization and its applications ; v. 52
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4.

図書

図書
Nail H. Ibragimov
出版情報: Chichester, West Sussex ; New York : Wiley, c1999  xviii, 347 p. ; 24 cm
シリーズ名: Mathematical methods in practice ; v. 4
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目次情報: 続きを見る
Introduction to Differential Equations
Transformation Groups
Lie Group Analysis of Ordinary Differential Equations
Brief on Lie Algebras
First Order Differential Equations
Integration of Second Order Equations
Basic Theory of Linear Equations
Nonlinear Second Order Equations
Integration of Third Order Equations
Nonlinear Superposition Principle
Index
Introduction to Differential Equations
Transformation Groups
Lie Group Analysis of Ordinary Differential Equations
5.

図書

図書
Eusebius Doedel, Laurette S. Tuckerman, editors
出版情報: New York : Springer, c2000  x, 471 p. ; 25 cm
シリーズ名: The IMA volumes in mathematics and its applications ; v. 119
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6.

図書

図書
von E. Kamke
出版情報: Leipzig : Akademische Verlagsgesellschaft, 1962  xii, 316 p ; 24 cm
シリーズ名: Mathematik und ihre Anwendungen in Physik und Technik ; Reihe A ; Bd. 7 . Differentialgleichungen ; 1
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7.

図書

図書
von E. Kamke
出版情報: Leipzig : Akademische Verlagsgesellschaft, 1962  xv, 255 p. ; 24 cm
シリーズ名: Mathematik und ihre Anwendungen in Physik und Technik ; Reihe A ; Bd. 7 . Differentialgleichungen ; 2
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8.

図書

図書
George Emanuel
出版情報: Boca Raton, FL : Chapman & Hall/CRC, 2001  220 p.
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目次情報: 続きを見る
Preface
Background / I:
Introduction / 1:
Continuous One-Parameter Groups-I / 2:
Group Concept / 2.1:
Infinitesimal Transformation / 2.2:
Global Group Equations / 2.3:
Problems / 2.4:
Method of Characteristics / 3:
Theory / 3.1:
Examples / 3.2:
Continuous One-Parameter Groups-II / 3.3:
Invariance / 4.1:
The Once-Extended Group / 4.2:
Higher-Order Extended Groups / 4.3:
Ordinary Differential Equations / 4.4:
First-Order ODEs / 5:
Invariance Under a One-Parameter Group / 5.1:
Canonical Coordinates / 5.2:
Special Procedures / 5.3:
Compendium / 5.4:
Higher-Order ODEs / 5.5:
Invariant Equations / 6.1:
Finding the Groups / 6.2:
System of First-Order ODEs / 6.3:
Second-Order ODEs / 6.4:
Classification of Two-Parameter Groups / 7.1:
Invariance and Canonical Coordinates / 7.2:
Appendices / 7.3:
Bibliography and References / A:
The Rotation Group / B:
Basic Relations / C:
Tables / D:
Answers to Selected Problems / E:
Preface
Background / I:
Introduction / 1:
9.

図書

図書
J.W. Neuberger
出版情報: Berlin : Springer-Verlag, c1997  viii, 149 p. ; 24 cm
シリーズ名: Lecture notes in mathematics ; 1670
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10.

図書

図書
von E. Kamke
出版情報: Leipzig : Akademische Verlagsgesellschaft, 1967  xxvi, 668 p. ; 24 cm
シリーズ名: Mathematik und ihre Anwendungen in Physik und Technik ; Reihe A ; Bd. 18. Differentialgleichungen : Lösungsmethoden und Lösungen ; 1
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