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1.

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図書
1. 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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2.

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2. Theorie und Praxis der linearen Integralgleichungen (Bd. 1 - Bd. 4)
S. Fenyö, H.W. Stolle
出版情報: Basel ; Boston : Birkhäuser, 1982-1984  4 v. ; 24 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; Mathematische Reihe ; Bd. 74-77
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3.

図書
図書
3. Integral equation methods in scattering theory
David Colton, Rainer Kress
出版情報: New York : Wiley, c1983  xii, 271 p. ; 24 cm
シリーズ名: Pure and applied mathematics : a Wiley-Interscience series of texts, monographs, and tracts
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4.

図書
図書
4. Integral equations (: hbk ; : pbk.)
Harry Hochstadt
出版情報: New York : Wiley, c1973  viii, 282 p. ; 23 cm
シリーズ名: Pure and applied mathematics
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目次情報: 続きを見る
Partial table of contents
Basic Existence Theorems
Fixed Point Theorems
Volterra Equations
Kernels with Weak Singularities
Integral Equations With L2 Kernels
Compact Operators
Positive Operators
Approximation of Eigenvalues
Fredholm Equations with Self-Adjoint Compact Operators
Applications To Partial Differential Equations
Fourier Transforms
Laplace Transforms
Hankel Transforms
Mellin Transforms
The Weiner-Hopf Technique I. The Weiner-Hopf Technique II
The Fredholm Theory
Nonlinear Integral Equations
The Schauder Fixed Point Theorem
Index
Partial table of contents
Basic Existence Theorems
Fixed Point Theorems
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5. Some classes of singular equations
Siegfried Prössdorf ; [translated by Siegfried Dümmel]
出版情報: Amsterdam ; New York : North-Holland Pub. Co. , New York : sole distributors for the USA and Canada, Elsevier North-Holland, 1978  xiv, 417 p. ; 23 cm
シリーズ名: North-Holland mathematical library ; v. 17
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6.

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6. Linear integral equations. 2nd ed
Rainer Kress
出版情報: New York : Springer, 1999  xiv, 365 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 82
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7.

図書
図書
7. Inequalities for differential and integral equations
B.G. Pachpatte
出版情報: San Diego ; Tokyo : Academic Press, c1998  x, 611 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 197
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目次情報: 続きを見る
Nonlinear Integral Inequalities
Multidimensional Linear Integral Inequalities / I：
Multidimensional Nonlinear Integral Inequalities
References
Nonlinear Integral Inequalities
Multidimensional Linear Integral Inequalities / I：
Multidimensional Nonlinear Integral Inequalities
8.

図書
図書
8. Lectures on the theory of integral equations
I.G. Petrovskii ; translated from the 2nd revised (1951) Russian edition by Hyman Kamel and Horace Komm
出版情報: Rochester, N.Y. : Graylock Press, 1957  97 p. ; 23 cm
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9.

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9. Integral equations : theory and numerical treatment (: sz ; : us)
Wolfgang Hackbusch
出版情報: Basel ; Boston : Birkhäuser Verlag, c1995  xiv, 359 p. ; 24 cm
シリーズ名: International series of numerical mathematics ; v. 120
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10.

図書
図書
10. Singular integral operators (: us ; : gw)
Solomon G. Mikhlin, Siegfried Prössdorf ; [translated from the German by Albrecht Böttcher, Reinhard Lehmann]
出版情報: Berlin ; Tokyo : Springer-Verlag, c1986  528 p. ; 25 cm
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11.

図書
図書
11. Methods of singular integral equations
A. Dzhuraev
出版情報: Harlow, Essex, England : Longman Scientific and Technical, c1992  311 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 60
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12.

図書
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12. Numerical analysis for integral and related operator equations (: Basel ; : Boston)
Siegfried Prössdorf, Bernd Silbermann
出版情報: Basel ; Boston : Birkhäuser Verlag, 1991  542 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 52
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13.

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13. The analysis of linear integral equations
James Alan Cochran
出版情報: New York : McGraw-Hill, c1972  xi, 370 p. ; 23 cm
シリーズ名: McGraw-Hill series in modern applied mathematics
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14.

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14. Degenerate and other problems
A. Dzhuraev
出版情報: New York, NY : Wiley , Harlow, Essex, England : Longman Scientific & Technical, 1992  315 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 61
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15.

図書
図書
15. Estimates and asymptotics for discrete spectra of integral and differential equations
M.Sh. Birman, editor
出版情報: Providence, R.I. : American Mathematical Society, c1991  x, 204 p. ; 26 cm
シリーズ名: Advances in Soviet mathematics ; v. 7
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目次情報: 続きを見る
Estimates for the number of negative eigenvalues of the Schrodinger operator and its generalizations / M. Sh. Birman ; M. Z. Solomyak
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
Discrete spectrum in the gaps for perturbations of the magnetic Schrodinger operator / G. D. Raikov
Boundedness conditions and spectrum estimates for the operators $b(X)a(D)$ and their analogs / G. E. Karadzhov
Reflection operators and their applications to asymptotic investigations of semiclassical integral equations / A. M. Budylin ; V. S. Buslaev
Weyl asymptotics for the discrete spectrum of the perturbed Hill operator / A. V. Sobolev
On solutions of the Schrodinger equation with radiation conditions at infinity / D. R. Yafaev
Estimates for the number of negative eigenvalues of the Schrodinger operator and its generalizations / M. Sh. Birman ; M. Z. Solomyak
Discrete spectrum in the gaps of a continuous one for perturbations with large coupling constant
Discrete spectrum in the gaps for perturbations of the magnetic Schrodinger operator / G. D. Raikov
16.

図書
図書
16. Differential and integral inequalities (: gw ; : us)
Wolfgang Walter ; translated by Lisa Rosenblatt and Lawrence Shampine
出版情報: Berlin ; New York : Springer-Verlag, 1970  x, 352 p. ; 24 cm
シリーズ名: Ergebnisse der Mathematik und ihrer Grenzgebiete ; Bd. 55
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17.

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17. Functional, partial, abstract, and complex differential equations
V. Lakshmikantham and S. Leela
出版情報: New York : Academic Press, 1969  ix, 319 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 55 . Differential and integral inequalities : theory and applications ; v. 2
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18.

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18. Integral equations and applications
C. Corduneanu
出版情報: Cambridge ; New York : Cambridge University Press, 1991  ix, 366 p. ; 24 cm
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目次情報: 続きを見る
Introduction to the theory of integral equations / 1：
Function spaces, operators, fixed points and monotone mappings / 2：
Basic theory of Volterra equations: integral and abstract / 3：
Some special classes of integral and integrodifferential equations / 4：
Integral equations in abstract spaces / 5：
Some applications of integral and integrodifferential equations / 6：
Introduction to the theory of integral equations / 1：
Function spaces, operators, fixed points and monotone mappings / 2：
Basic theory of Volterra equations: integral and abstract / 3：
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19. A new class of singular integral equations and its application to differential equations with singular coefficients
L.G. Mikhailov ; translated from the Russian by M.D. Friedman
出版情報: Groningen : Wolters-Noordhoff, 1970  viii, 223 p. ; 22 cm
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20.

図書
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20. Lectures on integral equations
by Harold Widom ; notes by David Drazin, Anthony J. Tromba
出版情報: New York : Van Nostrand Reinhold, 1969  iii, 124 p. ; 21 cm
シリーズ名: Van Nostrand mathematical studies ; 17
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21.

図書
図書
21. Singuläre Integraloperatoren
von S.G. Michlin und S. Prössdorf
出版情報: Berlin : Akademie-Verlag, 1980  xii, 514 p. ; 25 cm
シリーズ名: Mathematische Lehrbücher und Monographien ; Abt. 2 . Mathematische Monographien ; Bd. 52
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22.

図書
図書
22. Integral equations
Mikhlin, S. G. Tr. from the Russian by A. H. Armstrong
出版情報: London : Pergamon, 1957  xii, 338 p. ; 22 cm
シリーズ名: International series of monographs on pure and applied mathematics ; vol. 4
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23.

図書
図書
23. Integral equations
by F. Smithies
出版情報: Cambridge [Eng.] : University Press, 1958  x, 172 p. ; 22 cm
シリーズ名: Cambridge tracts in mathematics and mathematical physics ; no. 49
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24.

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24. Integralgleichungen und Gleichungen mit unendlich vielen Unbekannten. 1. Aufl
D. Hilbert, E. Schmidt ; herausgegeben und mit einem Nachwort versehen von A. Pietsch
出版情報: Leipzig : B.G. Teubner , Wien ; New York : Distributed by Springer-Verlag, c1989  316 p. ; 22 cm
シリーズ名: Teubner-Archiv zur Mathematik ; Bd. 11
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25.

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25. Ordinary differential equations
V. Lakshmikantham and S. Leela
出版情報: New York : Academic Press, 1969  ix, 390 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 55 . Differential and integral inequalities : theory and applications ; v. 1
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26. Boundary value problems and integral equations
ed. by V.I. Smirnov
出版情報: New York : Consultants Bureau, 1968  150 p. ; 28 cm
シリーズ名: Problems in mathematical analysis ; v. 1
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27.

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27. Linear equations in Banach spaces
S.G. Krein ; translated from the Russian by A. Iacob
出版情報: Boston : Birkhäuser, 1982  xii, 102 p. ; 24 cm
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28.

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図書
28. Multidimensional singular integrals and integral equations. 1st English ed.
by S. G. Mikhlin ; translated from the Russian by W. J. A. Whyte ; translation edited by I. N. Sneddon
出版情報: Oxford : Pergamon, 1965  xii, 259 p. ; 23 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 83
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29.

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図書
29. Convolution equations and projection methods for their solution
by I. C. Gohberg and I. A. Felʹdman ; [Translated from the Russian by F. M. Goldware]
出版情報: Providence, R.I. : American Mathematical Society, 1974  ix, 261 p. ; 24 cm
シリーズ名: Translations of mathematical monographs ; v. 41
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30.

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30. Asymptotic analysis
J.D. Murray
出版情報: Oxford : Clarendon Press, 1974  vii, 140 p. ; 22 cm
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31.

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図書
31. Principles of differential and integral equations. 2nd ed
C. Corduneanu
出版情報: Bronx, N.Y. : Chelsea Pub. Co., c1977  xii, 205 p. ; 24 cm
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目次情報: 続きを見る
Introduction: Some Elementary Methods: The linear equation of the first order
The equation with separable variables Exact differential equations
The uniqueness problem: an example Some integral inequalities Problems
Existence Theory for Differential Equations: The first-order equation
First-order differential systems Equations and systems of higher order Peano existence theorem
A uniqueness theorem Problems Some Global Problems for Ordinary Differential
Equations: Statement of the problems Global uniqueness Global existence and the behavior of saturated solutions
Dependence of solutions on initial values Differential inequalities and the comparison method
A criterion of global existence Problems Some Special Classes of Differential
Systems and Equations: Linear systems: generalities Linear homogeneous systems Nonhomogeneous systems
Linear equations of higher order Autonomous systems Linear systems and equations with constant coefficients Problems
Stability Theory of Ordinary Differential Systems: Definitions and examples Stability of linear systems Stability in the first approximation
Stability theorems by comparison method Further stability results Stability of automatic control systems Problems
Volterra Integral Equations: Existence and uniqueness of solution An existence theorem
The linear equation The first-kind linear equation Some problems on the half-axis Problems
Fredholm Theory of Linear Integral Equations: The resolvent kernel
The entire functions of Fredholm and their applications
A glimpse of Hilbert space theory Eigenvalues, eigenfunctions and adjoint equations Problems
Theory of Self-Adjoint Integral Equations and Some Applications: Some properties of an integral operator
The existence of eigenvalues
The Hilbert-Schmidt expansion theorem Complete kernels and systems
The Sturm-Liouville problem Reduction to an integral equation: the first case Reduction to an integral equation: the second case Problems
Miscellanea (Nice Things): Maximum and minimum solutions of scalar differential equations
A theorem of Massera An oscillation theorem A formula of Picone and its consequences
Lienard's equation Differential systems without uniqueness Abel's integral equation
References
Index
Introduction: Some Elementary Methods: The linear equation of the first order
The equation with separable variables Exact differential equations
The uniqueness problem: an example Some integral inequalities Problems
32.

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図書
32. Systems of singular integral equations
[by] N.P. Vekua ; translated from the Russian by A.G. Gibbs and G.M. Simmons ; edited by J.H. Ferziger
出版情報: Groningen : P. Noordhoff, c1967  216 p. ; 23 cm
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33. Product integration with applications to differential equations
John D. Dollard and Charles N. Friedman ; foreword by Felix E. Browder ; appendix by P. R. Masani
出版情報: Reading, Mass. : Addison-Wesley Pub. Co., Advanced Book Program, 1979  xxii, 253 p. ; 24 cm
シリーズ名: Encyclopedia of mathematics and its applications / edited by G.-C. Rota ; v. 10 . Section, Analysis
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34. Linear integral equations (: us ; : gw)
Rainer Kress
出版情報: Berlin ; Tokyo : Springer-Verlag, c1989  xi, 299 p. ; 24 cm
シリーズ名: Applied mathematical sciences ; v. 82
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35.

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35. Integral equations : a reference text
P.P. Zabreyko ... [et al.] ; translated and edited by T.O. Shaposhnikova, R.S. Anderssen [and] S.G. Mikhlin
出版情報: Leyden : Noordhoff International Pub., c1975  xix, 443 p. ; 23 cm
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36. Mathematical problems in viscoelasticity (: U.S)
Michael Renardy, William J. Hrusa & John A. Nohel
出版情報: Harlow, England : Longman Scientific & Technical, 1987  273 p. ; 25 cm
シリーズ名: Pitman monographs and surveys in pure and applied mathematics ; 35
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37. Harmonic maps and integrable systems
Allan P. Fordy, John C. Wood (eds.)
出版情報: Braunschweig : Vieweg, c1994  329 p. ; 23 cm
シリーズ名: Aspects of mathematics = Aspekte der Mathematik ; vol. E23
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38.

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38. Lectures on differential and integral equations
Kôsaku Yosida
出版情報: New York : Interscience Publishers, 1960  ix, 220 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 10
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39.

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39. Integral equations
F.G. Tricomi
出版情報: New York : Interscience Publishers, 1957  viii, 238 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 5
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40. Einige Klassen singulärer Gleichungen
Siegfried Prössdorf
出版情報: Basel : Birkhäuser, 1974  xii, 353 p. ; 25 cm
シリーズ名: Lehrbücher und Monographien aus dem Gebiete der exakten Wissenschaften ; . Mathematische Reihe ; Bd. 46
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41.

図書
図書
41. Introduction to the theory of Toeplitz operators with infinite index
Vladimir Dybin, Sergei M. Grudsky ; translated from the Russian by Andrei Iacob
出版情報: Basel : Birkhäuser, c2002  xii, 299 p. ; 24 cm
シリーズ名: Operator theory : advances and applications ; v. 137
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42.

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図書
42. Integration for engineers and scientists
William Squire
出版情報: New York : American Elsevier Pub. Co., 1970  302 p. ; 24 cm
シリーズ名: Modern analytic and computational methods in science and mathematics ; v. 21
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43.

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図書
43. Differential- und Integral-Ungleichungen und ihre Anwendung bei Abschätzungs- und Eindeutigkeitsproblemen
Walter, Wolfgang, 1927-
出版情報: Berlin ; New York : Springer, 1964  xiii, 269 p ; 24 cm
シリーズ名: Springer tracts in natural philosophy ; v. 2
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44.

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図書
44. Integral equations and stability of feedback systems
Constantin Corduneanu
出版情報: New York : Academic Press, 1973  ix, 238 p. ; 24 cm
シリーズ名: Mathematics in science and engineering : a series of monographs and textbooks ; v. 104
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45.

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図書
45. Topological methods in the theory of nonlinear integral equations
M.A. Krasnosel'skii ; translated by A.H. Armstrong ; translation edited by J. Burlak
出版情報: Oxford : Pergamon Press , New York : Distributed in the Western Hemisphere by Macmillan, 1964  xi, 395 p. ; 22 cm
シリーズ名: International series of monographs on pure and applied mathematics ; v. 45
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