Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This volume provides a broad introduction to nonlinear integral dynamical models and new classes of evolutionary integral equations. It may be used as an advanced textbook by postgraduate students to study integral dynamical models and their applications in machine learning, electrical and electronic engineering, operations research and image analysis. Contents: Introduction and Overview; Volterra Models of Evolving Dynamical Systems: Volterra Equations of the First Kind with Piecewise Continuous Kernels; Volterra Matrix Equation of the First Kind with Piecewise Continuous Kernels; Volterra Op

Nonlinear integral equations. --- Volterra equations. --- Equations, Volterra --- Integral equations --- Integral equations, Nonlinear --- Nonlinear theories

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Inequalities for Differential and Integral Equations has long been needed; it contains material which is hard to find in other books. Written by a major contributor to the field, this comprehensive resource contains many inequalities which have only recently appeared in the literature and which can be used as powerful tools in the development of applications in the theory of new classes of differential and integral equations. For researchers working in this area, it will be a valuable source of reference and inspiration. It could also be used as the text for an advanced graduate course.

Inequalities (Mathematics) --- Differential equations. --- Integral equations.

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This largely self-contained treatment surveys, unites and extends some 20 years of research on direct and inverse problems for canonical systems of integral and differential equations and related systems. Five basic inverse problems are studied in which the main part of the given data is either a monodromy matrix; an input scattering matrix; an input impedance matrix; a matrix valued spectral function; or an asymptotic scattering matrix. The corresponding direct problems are also treated. The book incorporates introductions to the theory of matrix valued entire functions, reproducing kernel Hilbert spaces of vector valued entire functions (with special attention to two important spaces introduced by L. de Branges), the theory of J-inner matrix valued functions and their application to bitangential interpolation and extension problems, which can be used independently for courses and seminars in analysis or for self-study. A number of examples are presented to illustrate the theory.

Inverse problems (Differential equations) --- Integral equations --- Integral equations. --- Differential equations --- Equations, Integral --- Functional equations --- Functional analysis

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This comprehensive textbook on linear integral equations and integral transforms is aimed at senior undergraduate and graduate students of mathematics and physics. The book covers a range of topics including Volterra and Fredholm integral equations, the second kind of integral equations with symmetric kernels, eigenvalues and eigen functions, the Hilbert–Schmidt theorem, and the solution of Abel integral equations by using an elementary method. In addition, the book covers various integral transforms including Fourier, Laplace, Mellin, Hankel, and Z-transforms. One of the unique features of the book is a general method for the construction of various integral transforms and their inverses, which is based on the properties of delta function representation in terms of Green’s function of a Sturm–Liouville type ordinary differential equation and its applications to physical problems. The book is divided into two parts: integral equations and integral transforms. Each chapter is supplemented with numerous illustrative examples to aid in understanding. The clear and concise presentation of the topics covered makes this book an ideal resource for students, researchers, and professionals interested in the theory and application of linear integral equations and integral transforms.

Integral equations. --- Mathematical analysis. --- Integral Equations. --- Integral Transforms and Operational Calculus. --- Equacions integrals --- Transformacions integrals

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

This book presents a curated selection of recent research in functional analysis and fixed-point theory, exploring their applications in interdisciplinary fields. The primary objective is to establish a connection between the latest developments in functional analysis and fixed-point theory and the broader interdisciplinary research landscape. By doing so, this book aims to address the needs of researchers and experts seeking to stay up-to-date with the cutting-edge research trends in functional analysis, fixed-point theory and related areas. It also aims to pave the way for applying functional analysis and fixed-point theory to solve interdisciplinary problems in various domains, including but not limited to fractional calculus, integral equations, queuing theory, convex analysis, harmonic analysis and wavelet analysis.

Functional analysis. --- Integral equations. --- Queuing theory. --- Functional Analysis. --- Integral Equations. --- Queueing Theory.