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1.

図書
図書
1. Cartesian currents in the calculus of variations (v. 1 ; v. 2)
Mariano Giaquinta, Giuseppe Modica, Jiří Souček
出版情報: Berlin : Springer, c1998  2 v. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 37-38
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目次情報: 続きを見る
Introduction to Monocotyledons
Development and Organization
Epicuticular Wax Ultrastructure
Systematics and Evolution
Floral Biology
Conspectus of Families Treated in this Volume
General References
Acanthochlamydaceae
Xanthorrhoeaceae (56 families in alphabetical order)
Index of Scientific Names
General Measure Theory / Part I：
Integer Rectifiable Currents
Cartesian Maps
Cartesian Currents in Euclidean Spaces
Cartesian Currents in Riemannian Manifolds
Regular Variational Integrals / Part II：
Finite Elasticity and Weak Diffeomorphisms
The Dirichlet Integral in Sobolev Spaces
The Dirichlet Energy for Maps into S2
Regular and Non Regular Integrals
The Non Parametric Area Functional
Introduction to Monocotyledons
Development and Organization
Epicuticular Wax Ultrastructure
2.

図書
図書
2. Calculus of variations and optimal control
A.A. Milyutin, N.P. Osmolovskii
出版情報: Providence, R.I. : American Mathematical Society, c1998  xii, 372 p. ; 27 cm
シリーズ名: Translations of mathematical monographs ; v. 180
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First order conditions: First order conditions
Theory of a weak minimum for the problem on a fixed time interval
Theory of the maximum principle
Extremals and the Hamiltonian of a control system
Hamilton-Jacobi equation and field theory
Transformations of problems and invariance of extremals
Quadratic conditions: Quadratic conditions and conjugate points for broken extremals
Quadratic conditions for a Pontryagin minimum and sufficient conditions for a strong minimum: Proofs
Quadratic conditions in the general problem of the calculus of variations and related optimal control problems
Investigation of extremals by quadratic conditions: Examples
Bibliography
First order conditions: First order conditions
Theory of a weak minimum for the problem on a fixed time interval
Theory of the maximum principle
3.

図書
図書
3. One-dimensional variational problems : an introduction
Giuseppe Buttazzo and Mariano Giaquinta, and Stefan Hildebrandt
出版情報: Oxford : Clarendon Press, 1998  viii, 262 p. ; 24 cm
シリーズ名: Oxford lecture series in mathematics and its applications ; 15
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Introduction
Classical problems and indirect methods / 1：
Absolutely continuous functions and Sobolev spaces / 2：
Semicontinuity and existence results / 3：
Regularity of minimizers / 4：
Some applications / 5：
Scholia / 6：
References
Index
Introduction
Classical problems and indirect methods / 1：
Absolutely continuous functions and Sobolev spaces / 2：
4.

図書
図書
4. Variational analysis
R. Tyrrell Rockafellar, Roger J.-B. Wets
出版情報: Berlin ; New York : Springer, c1998  xiii, 733 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 317
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