Título :	Transmutation Operators and Applications
Tipo de documento:	documento electrónico
Autores:	Kravchenko, Vladislav V., ; Sitnik, Sergei M.,
Mención de edición:	1 ed.
Editorial:	[s.l.] : Springer
Fecha de publicación:	2020
Número de páginas:	XVII, 686 p. 5 ilustraciones, 1 ilustraciones en color.
ISBN/ISSN/DL:	978-3-030-35914-0
Nota general:	Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.
Palabras clave:	Ecuaciones diferenciales  Análisis matemático  Funciones de variables reales  Teoría potencial (Matemáticas)  Transformaciones Integrales y Cálculo Operacional  Funciones reales  Teoría potencial
Índice Dewey:	515.35
Resumen:	Los operadores de transmutación en ecuaciones diferenciales y teoría espectral se pueden utilizar para revelar las relaciones entre diferentes problemas y, a menudo, hacen posible transformar problemas difíciles en otros más fáciles. En consecuencia, representan una herramienta matemática importante en la teoría de problemas inversos y de dispersión, de ecuaciones diferenciales ordinarias y parciales, transformadas y ecuaciones integrales, funciones especiales, análisis armónicos, teoría de potenciales y funciones analíticas generalizadas. Este volumen explora los avances recientes en la construcción y aplicaciones de operadores de transmutación, al tiempo que comparte algunas notas históricas interesantes sobre el tema. .
Nota de contenido:	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. .
En línea:	https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
Link:	https://biblioteca.umanizales.edu.co/ils/opac_css/index.php?lvl=notice_display&i

Transmutation Operators and Applications [documento electrónico] / Kravchenko, Vladislav V., ; Sitnik, Sergei M.,  . -  1 ed.  . - [s.l.] : Springer, 2020 . - XVII, 686 p. 5 ilustraciones, 1 ilustraciones en color.
ISBN : 978-3-030-35914-0
Libro disponible en la plataforma SpringerLink. Descarga y lectura en formatos PDF, HTML y ePub. Descarga completa o por capítulos.

Palabras clave:	Ecuaciones diferenciales  Análisis matemático  Funciones de variables reales  Teoría potencial (Matemáticas)  Transformaciones Integrales y Cálculo Operacional  Funciones reales  Teoría potencial
Índice Dewey:	515.35
Resumen:	Los operadores de transmutación en ecuaciones diferenciales y teoría espectral se pueden utilizar para revelar las relaciones entre diferentes problemas y, a menudo, hacen posible transformar problemas difíciles en otros más fáciles. En consecuencia, representan una herramienta matemática importante en la teoría de problemas inversos y de dispersión, de ecuaciones diferenciales ordinarias y parciales, transformadas y ecuaciones integrales, funciones especiales, análisis armónicos, teoría de potenciales y funciones analíticas generalizadas. Este volumen explora los avances recientes en la construcción y aplicaciones de operadores de transmutación, al tiempo que comparte algunas notas históricas interesantes sobre el tema. .
Nota de contenido:	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. .
En línea:	https://link-springer-com.biblioproxy.umanizales.edu.co/referencework/10.1007/97 [...]
Link:	https://biblioteca.umanizales.edu.co/ils/opac_css/index.php?lvl=notice_display&i