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1.

図書
図書
1. 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
2.

図書
図書
2. 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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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
3.

図書
図書
3. 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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4.

図書
図書
4. 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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5.

図書
図書
5. Theory of functionals and of integral and integro-differential equations
by Vito Volterra ; edited by Luigi Fantappie ; translated by M. Long
出版情報: London : Blackie, 1930  xiv, 226 p. ; 22cm
シリーズ名: Dover books on mathematics
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6.

図書
図書
6. 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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7.

図書
図書
7. Asymptotic analysis
J.D. Murray
出版情報: Oxford : Clarendon Press, 1974  vii, 140 p. ; 22 cm
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8.

図書
図書
8. 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
9.

図書
図書
9. 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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10.

図書
図書
10. 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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