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1.

電子ブック

EB
by George A. Anastassiou
出版情報: New York, NY : George A. Anastassiou, 2011
シリーズ名: SpringerBriefs in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-0589-4
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2.

電子ブック

EB
by Claudio Canuto, Anita Tabacco
出版情報: Milano : Springer Milan, 2008
シリーズ名: Universitext ;
オンライン: http://dx.doi.org/10.1007/978-88-470-0876-2
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3.

電子ブック

EB
by Victor D. Didenko, Bernd Silbermann
出版情報: Basel : Birkhäuser Verlag AG, 2008
シリーズ名: Frontiers in Mathematics ;
オンライン: http://dx.doi.org/10.1007/978-3-7643-8751-8
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4.

電子ブック

EB
by George A. Anastassiou
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-98128-4
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5.

電子ブック

EB
by Ravi P. Agarwal, Shusen Ding, Craig Nolder
出版情報: New York, NY : Springer-Verlag New York, 2009
オンライン: http://dx.doi.org/10.1007/978-0-387-68417-8
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6.

電子ブック

EB
by Ram P. Kanwal
出版情報: New York, NY : Springer New York : Imprint: Birkhäuser, 2013
シリーズ名: Modern Birkhäuser Classics ;
オンライン: http://dx.doi.org/10.1007/978-1-4614-6012-1
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目次情報: 続きを見る
Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
Classical Fredholm Theory.- Applications of Ordinary Differential Equations.- Applications of Partial Differential Equations
Symmetric Kernels
Singular Integral Equations
Integral Transformation Methods
Applications to Mixed Boundary Value Problems
Integral Equations Perturbation Methods
Appendix
Bibliography
Index
Introduction
Integral Equations with Separable Kernels
Method Of Successive Approximations
7.

電子ブック

EB
by Maurice Gosson
出版情報: Basel : Birkhäuser Verlag, 2006
シリーズ名: Operator Theory: Advances and Applications ; 166
オンライン: http://dx.doi.org/10.1007/3-7643-7575-2
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8.

電子ブック

EB
edited by Takashi Aoki, Hideyuki Majima, Yoshitsugu Takei, Nobuyuki Tose
出版情報: Tokyo : Springer Japan, 2008
オンライン: http://dx.doi.org/10.1007/978-4-431-73240-2
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9.

電子ブック

EB
edited by Vladislav V. Kravchenko, Sergei M. Sitnik
出版情報: Cham : Springer International Publishing : Imprint: Birkhäuser, 2020
シリーズ名: Trends in Mathematics ;
オンライン: https://doi.org/10.1007/978-3-030-35914-0
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目次情報: 続きを見る
Part I: Transmutations, Integral Equations and Special Functions
Some Recent Developments in the Transmutation Operator Approach
Transmutation Operators and Their Applications
Hankel Generalized Convolutions with the Associated Legendre Functions in the Kernel and Their Applications
Second Type Neumann Series Related to Nicholson’s and to Dixon–Ferrar Formula
On Some Generalizations of the Properties of the Multidimensional Generalized Erdélyi–Kober Operators and Their Applications
Alternative Approach to Miller-Paris Transformations and Their Extensions
Transmutation Operators For Ordinary Dunkl–Darboux Operators
Theorems on Restriction of Fourier–Bessel and Multidimensional Bessel Transforms to Spherical Surfaces
Necessary Condition for the Existence of an Intertwining Operator and Classification of Transmutations on Its Basis
Polynomial Quantization on Line Bundles
Fourier–Bessel Transforms of Measures and Qualitative Properties of Solutions of Singular Differential Equations
Inversion of Hyperbolic B-Potentials
One-Dimensional and Multi-Dimensional Integral Transforms of Buschman–Erdélyi Type with Legendre Functions in Kernels
Distributions, Non-smooth Manifolds, Transmutations and Boundary Value Problems
Part II: Transmutations in ODEs, Direct and Inverse Problems
On a Transformation Operator Approach in the Inverse Spectral Theory of Integral and Integro-Differential Operators
Expansion in Terms of Appropriate Functions and Transmutations
Transmutation Operators as a Solvability Concept of Abstract Singular Equations
On the Bessel-Wright Operator and Transmutation with Applications
On a Method of Solving Integral Equation of Carleman Type on the Pair of Segments
Transmutation Operators Boundary Value Problems
Solution of Inverse Problems for Differential Operators with Delay
Part III: Transmutations for Partial and Fractional Differential Equations
Transmutations of the Composed Erdélyi-Kober Fractional Operators and Their Applications
Distributed Order Equations in Banach Spaces with Sectorial Operators
Transformation Operators for Fractional Order Ordinary Differential Equations and Their applications
Strong Solutions of Semilinear Equations with Lower Fractional Derivatives
Mean Value Theorems and Properties of Solutions of Linear Differential Equations
Transmutations for Multi-Term Fractional Operators
Fractional Bessel Integrals and Derivatives on Semi-axes
The Fractional Derivative Expansion Method in Nonlinear Dynamics of Structures: A Memorial Essay
Boundary Value Problem with Integral Condition for the Mixed Type Equation with a Singular Coefficient
Part I: Transmutations, Integral Equations and Special Functions
Some Recent Developments in the Transmutation Operator Approach
Transmutation Operators and Their Applications