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1.

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図書
1. Applications of variational inequalities in stochastic control
Alain Bensoussan, Jacques-Louis Lions ; English version edited, prepared, and produced by Trans-Inter-Scientia
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier North-Holland, 1982  xi, 564 p. ; 23 cm
シリーズ名: Studies in mathematics and its applications ; v. 12
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2.

図書
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2. Methods of complex analysis in partial differential equations with applications
Manfred Kracht, Erwin Kreyszig
出版情報: New York : Wiley, c1988  xiv, 394 p. ; 24 cm
シリーズ名: Canadian Mathematical Society series of monographs and advanced texts
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3.

図書
図書
3. Partial differential equations of mathematical physics and integral equations
Ronald B. Guenther and John W. Lee
出版情報: Englewood Cliffs, N.J. : Prentice-Hall, c1988  xii, 544 p. ; 25 cm
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4.

図書
図書
4. Quadratic form theory and differential equations
John Gregory
出版情報: New York : Academic Press, 1980  xii, 237 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 152
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目次情報: 続きを見る
Preface
Overview / 1：
Methods of Operator Approximation in System Modelling / I：
Nonlinear Operator Approximation with Preassigned Accuracy / 2：
Introduction / 2.1：
Generic formulation of the problem / 2.2：
Operator approximation in space C([0; 1]) / 2.3：
Operator approximation in Banach spaces by polynomial operators / 2.4：
Approximation on compact sets in topological vector spaces / 2.5：
Approximation on noncompact sets in Hilbert spaces / 2.6：
Special results for maps into Banach spaces / 2.7：
Concluding remarks / 2.8：
Interpolation of Nonlinear Operators 65 / 3：
Lagrange interpolation in Banach spaces / 3.1：
Weak interpolation of nonlinear operators / 3.3：
Some related results / 3.4：
Realistic Operators and their Approximation / 3.5：
Formalization of concepts related to description of real-world objects / 4.1：
Approximation of RÂícontinuous operators / 4.3：
Methods of Best Approximation for Nonlinear Operators / 4.4：
Best Approximation of nonlinear operators in Banach spaces: Deterministic case / 5.1：
Estimation of mean and covariance matrix for random vectors / 5.3：
Best Hadamard-quadratic approximation / 5.4：
Best polynomial approximation / 5.5：
Best causal approximation / 5.6：
Best hybrid approximations / 5.7：
Optimal Estimation of Random Vectors / 5.8：
Computational Methods for Optimal Filtering of Stochastic Signals / 6：
Optimal linear Filtering in Finite dimensional vector spaces / 6.1：
Optimal linear Filtering in Hilbert spaces / 6.3：
Optimal causal linear Filtering with piecewise constant memory / 6.4：
Optimal causal polynomial Filtering with arbitrarily variable memory / 6.5：
Optimal nonlinear Filtering with no memory constraint / 6.6：
Computational Methods for Optimal Compression and Reconstruction of Random Data / 6.7：
Standard Principal Component Analysis and Karhunen-Loeeve transform (PCA{KLT) / 7.1：
Rank-constrained matrix approximations / 7.3：
Generic PCA{KLT / 7.4：
Optimal hybrid transform based on Hadamard-quadratic approximation / 7.5：
Optimal transform formed by a combination of nonlinear operators / 7.6：
Optimal generalized hybrid transform / 7.7：
Bibliography / 7.8：
Index
Preface
Overview / 1：
Methods of Operator Approximation in System Modelling / I：
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図書
図書
5. Systems of quasilinear equations and their applications to gas dynamics
by B.L. Roždestvenskiĭ and N.N. Janenko ; [translated from the Russian by J.R. Schulenberger]
出版情報: Providence, R.I. : American Mathematical Society, c1983  xx, 676 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 55
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6.

図書
図書
6. Semigroups of linear operators and applications to partial differential equations
A. Pazy
出版情報: New York : Springer-Verlag, c1983  viii, 279 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 44
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7.

図書
図書
7. Introduction to the theory of linear partial differential equations
Jacques Chazarain and Alain Piriou
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1982  xiv, 559 p. ; 24 cm
シリーズ名: Studies in mathematics and its applications ; 14
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8.

図書
図書
8. Maximum principles in differential equations (: New York ; : Berlin)
Murray H. Protter, Hans F. Weinberger
出版情報: New York ; Tokyo : Springer-Verlag, c1984  x, 261 p. ; 25 cm
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目次情報: 続きを見る
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
Hyperbolic Equations
Bibliography
Index
The One-Dimensional Maximum Principle
Elliptic Equations
Parabolic Equations
9.

図書
図書
9. Partial differential equations of applied mathematics
Erich Zauderer
出版情報: New York : Wiley, c1983  xiii, 779 p. ; 24 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
Initial and Boundary Value Problems in Bounded Regions
Integral Transforms
Integral Relations
Green's Functions
Variational and Other Methods
Perturbation Methods
Asymptotic Methods
Bibliography
Solutions to Selected Exercises
Index
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
10.

図書
図書
10. The finite difference method in partial differential equations
A.R. Mitchell and D.F. Griffiths
出版情報: Chichester [Eng.] ; New York : Wiley, c1980  xii, 272 p. ; 24 cm
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11.

図書
図書
11. Partial differential equations : new methods for their treatment and solution
Richard Bellman and George Adomian
出版情報: Dordrecht : D. Reidel, c1985  xvii, 290 p. ; 23 cm
シリーズ名: Mathematics and its applications
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12.

図書
図書
12. Partial differential equations. 2nd ed (: hard)
P.R. Garabedian
出版情報: New York, N.Y. : Chelsea Pub. Co., c1986  xii, 672 p. ; 24 cm
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13.

図書
図書
13. Differential Galois theory
J.F. Pommaret
出版情報: New York : Gordon and Breach Science Publishers, c1983  viii, 759 p. ; 24 cm
シリーズ名: Mathematics and its applications ; v. 15
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14.

図書
図書
14. Introduction to partial differential equations and Hilbert space methods. 2nd ed
Karl E. Gustafson
出版情報: New York : Wiley, c1987  xix, 409 p. ; 25 cm
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15.

図書
図書
15. Partial differential equations : an introduction to a general theory of linear boundary value problems (: us ; : gw)
Aleksei A. Dezin ; translated from the Russian by Ralph P. Boas
出版情報: Berlin ; Tokyo : Springer-Verlag, c1987  xii, 163 p. ; 24 cm
シリーズ名: Springer series in Soviet mathematics
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16.

図書
図書
16. Differential operators with constant coefficients (: gw ; : us)
Lars Hörmander
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, 1983  viii, 389 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 257 . The analysis of linear partial differential operators ; 2
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17.

図書
図書
17. Recent developments in mathematical analysis and partial differential equations : papers dedicated to Professor Sigeru Mizohata on the occasion of his sixtieth birthday (v. 1 ; v. 2)
edited by K. Kasahara, Y. Ohya and N. Shimakura
出版情報: Tokyo : Kinokuniya, c1986  2 v. ; 25 cm
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18.

図書
図書
18. Partial differential equations
editors of the volume, Bogdan Bojarski, Roman Dwilewicz
出版情報: Warszawa : PWN-Polish Scientific Publishers, 1987  397 p. ; 25 cm
シリーズ名: Banach Center publications ; v. 19
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19.

図書
図書
19. Lie pseudogroups and mechanics
J.F. Pommaret
出版情報: New York ; Tokyo : Gordon and Breach, c1988  ix, 591 p. ; 24 cm
シリーズ名: Mathematics and its applications ; v. 16
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20.

図書
図書
20. Analyse mathématique et applications : contributions en l'honneur de Jacques-Louis Lions
Lions, Jacques Louis, 1928-2001
出版情報: Paris : Gauthier-Villars, c1988  viii, 503 p. ; 25 cm
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21.

図書
図書
21. Bäcklund transformations and their applications
C. Rogers and W.F. Shadwick
出版情報: New York : Academic Press, 1982  xiii, 334 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 161
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22.

図書
図書
22. Integral manifolds and inertial manifolds for dissipative partial differential equations (: us ; : gw)
P. Constantin ... [et al.]
出版情報: New York ; Tokyo : Springer-Verlag, c1989  x, 121 p. ; 25 cm
シリーズ名: Applied mathematical sciences ; v. 70
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目次情報: 続きを見る
Introduction
Presentation of the Approach and of the Main Results
The Transport of Finite Dimensional Contact Elements
Spectral Blocking Property
Strong Squeezing Property
Cone Invariance Properties
Consequences Regarding the Global Attractor
Local Exponential Decay Toward Blocked Integral Surfaces
Exponential Decay of Volume Elements and the Dimension of the Global Attractor
Choice of the Initial Manifold
Construction of the Inertial Mainfold
Lower Bound for the Exponential Rate of Convergence to the Attractor
Asymptotic Completeness: Preparation
Asymptotic Completeness: Proof of Theorem 12.1
Stability with Respect to Perturbations
Application: The Kuramoto-Sivashinsky Equation
Application: A Nonlocal Burgers Equation
Application: The Cahn-Hilliard Equation
Application: A parabolic Equation in Two Space Variables
Application: The Chaffee-Infante Reaction Diffusion Equation
References
Index
Introduction
Presentation of the Approach and of the Main Results
The Transport of Finite Dimensional Contact Elements
23.

図書
図書
23. Differential equations with discontinuous righthand sides
A.F. Filippov ; edited by F.M. Arscott
出版情報: Dordrecht [Netherlands] : Kluwer, c1988  x, 304 p. ; 25 cm
シリーズ名: Mathematics and its applications ; Soviet series
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24.

図書
図書
24. Partial differential equations of applied mathematics. 2nd ed (: pbk)
Erich Zauderer
出版情報: New York : Wiley, c1989  xiii, 891 p. ; 23-25 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
Initial and Boundary Value Problems in Bounded Regions
Integral Transforms
Integral Relations
Green's Functions
Variational and Other Methods
Perturbation Methods
Asymptotic Methods
Bibliography
Solutions to Selected Exercises
Index
Random Walks and Partial Differential Equations
First Order Partial Differential Equations
Classification of Equations and Characteristics
25.

図書
図書
25. Introduction to partial differential equations and Hilbert space methods
Karl E. Gustafson
出版情報: New York : J. Wiley, c1980  xv, 270 p. ; 24 cm
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26.

図書
図書
26. Systems of nonlinear partial differential equations : applications to biology and engineering
by Anthony W. Leung
出版情報: Dordrecht ; Boston : Kluwer Academic, c1989  xiii, 409 p. ; 25 cm
シリーズ名: Mathematics and its applications
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27.

図書
図書
27. Some classes of partial differential equations
A.V. Bitsadze ; translated from the Russian by H. Zahavi
出版情報: New York ; Tokyo : Gordon and Breach Science Publishers, c1988  xi, 504 p. ; 24 cm
シリーズ名: Advanced studies in contemporary mathematics ; v. 4
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28.

図書
図書
28. Partial differential equations and the calculus of variations : essays in honor of Ennio De Giorgi (v. 1 : us - v. 2 : sz)
edited by F. Colombini ... [et al.]
出版情報: Boston : Birkhäuser, 1989  2 v. (xxii, 1018 p.) ; 24 cm
シリーズ名: Progress in nonlinear differential equations and their applications ; v. 1-2
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29.

図書
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29. Systems of equations of composite type (: us ; : uk)
A. Dzhuraev ; translated from the Russian by H. Begehr and Lin Wei
出版情報: Harlow, Essex, England : Longman Scientific & Technical , New York, N.Y. : Wiley, 1989  xv, 333 p. ; 24 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 44
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30.

図書
図書
30. Variational principles for nonpotential operators
V.M. Filippov
出版情報: Providence, R.I. : American Mathematical Society, c1989  xiii, 239 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 77
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Variational problems for linear equations with $B$-symmetric and $B$-positive operators
Classes of functionals and function spaces
Construction and investigation of variational principles for linear boundary value problems
Variational principles for nonlinear equations
Variational problems for linear equations with $B$-symmetric and $B$-positive operators
Classes of functionals and function spaces
Construction and investigation of variational principles for linear boundary value problems
31.

図書
図書
31. Pseudodifferential operators
Michael E. Taylor
出版情報: Princeton, N.J. : Princeton University Press, c1981  xi, 451 p. ; 25 cm
シリーズ名: Princeton mathematical series ; 34
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32.

図書
図書
32. Eigenvalues in Riemannian geometry
Isaac Chavel ; with a chapter by Burton Randol ; with appendix by Jozef Dodziuk
出版情報: Orlando ; Tokyo : Academic Press, 1984  xiv, 362 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; 115
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目次情報: 続きを見る
Preface
The Laplacian
The Basic Examples
Curvature
Isoperimetric Inequalities
Eigenvalues and Kinematic Measure
The Heat Kernel for Compact Manifolds
The Dirichlet Heat Kernel for Regular Domains
The Heat Kernel for Noncompact Manifolds
Topological Perturbations with Negligible Effect
Surfaces of Constant Negative Curvature
The Selberg Trace Formula
Miscellanea
Laplacian on Forms
Bibliography
Index
Preface
The Laplacian
The Basic Examples
33.

図書
図書
33. Solitons in mathematics and physics
Alan C. Newell
出版情報: Philadelphia, Pa. : Society for Industrial and Applied Mathematics, 1985  xvi, 244 p. ; 26 cm
シリーズ名: CBMS-NSF regional conference series in applied mathematics ; 48
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The History of the Soliton
Derivation of the Korteweg-de Vries, Nonlinear Schrodinger and Other Important and Canonical Equations of Mathematical Physics
Soliton Equation Families and Solution Methods
The -Function, the Hirota Method, the Painleve Property and Backlund Transformations for the Korteweg-de Vries Family of Soliton Equations
Connecting Links among the Miracles of Soliton Mathematics
The History of the Soliton
Derivation of the Korteweg-de Vries, Nonlinear Schrodinger and Other Important and Canonical Equations of Mathematical Physics
Soliton Equation Families and Solution Methods
34.

図書
図書
34. Fourier integral operators (: gw ; : us)
Lars Hörmander
出版情報: Berlin ; Tokyo : Springer-Verlag, c1985  vii, 351 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 275 . The analysis of linear partial differential operators / Lars Hörmander ; 4
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Contents: Lagrangian Distributions and Fourier Integral Operators
Pseudo-Differential Operators of Principal Type
Subelliptic Operators
Uniqueness for the Cauchy Problem
Spectral Asymptotics
Long Range Scattering Theory
Bibliography
Index
Index of Notation.
Contents: Lagrangian Distributions and Fourier Integral Operators
Pseudo-Differential Operators of Principal Type
Subelliptic Operators
35.

図書
図書
35. Shock waves and reaction-diffusion equations (: us ; : gw)
Joel Smoller
出版情報: New York ; Berlin : Springer-Verlag, c1983  xx, 581 p. ; 25 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 258
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36.

図書
図書
36. Partial differential relations (: U.S. ; : Germany ; : softcover)
Mikhael Gromov
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  ix, 363 p. ; 25 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; 3. Folge, Bd. 9
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37.

図書
図書
37. Current topics in partial differential equations : papers dedicated to Professor Sigeru Mizohata on the occasion of his sixtieth birthday
edited by Y. Ohya, K. Kasahara and N. Shimakura
出版情報: Tokyo : Kinokuniya, c1986  xii, 341 p.
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38.

図書
図書
38. Pseudo-differential operators (: gw ; : us)
Lars Hörmander
出版情報: Berlin ; Tokyo : Springer-Verlag, c1985  viii, 524 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; 274 . The analysis of linear partial differential operators / Lars Hörmander ; 3
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39.

図書
図書
39. Distribution theory and Fourier analysis (: gw ; : us)
Lars Hörmander
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, 1983  ix, 391 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 256 . The analysis of linear partial differential operators ; v. 1
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