Differential calculus and equations

The book discusses important results in modern mathematical models and high performance computing, such as applied operations research, simulation of operations, statistical modeling and applications, invisibility regions and regular meta-materials, unmanned vehicles, modern radar techniques/SAR imaging, satellite remote sensing, coding, and robotic systems.

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members.

This book gives an excellent and up-to-date overview on the convergence and joint progress in the fields of Generalized Functions and Fourier Analysis, notably in the core disciplines of pseudodifferential operators, microlocal analysis and time-frequency analysis.

This book offers a comprehensive treatment of the theory of measures of noncompactness.

This invaluable book is devoted to a rapidly developing area on the research of the qualitative theory of fractional differential equations.

This book offers a valuable methodological approach to the state-of-the-art of the classical plate/shell mathematical models, exemplifying the vast range of mathematical models of nonlinear dynamics and statics of continuous mechanical structural members.

This volume includes contributions originating from a conference held at Chapman University during November 14-19, 2017.

This book extends classical Hermite-Hadamard type inequalities to the fractional case via establishing fractional integral identities, and discusses Riemann-Liouville and Hadamard integrals, respectively, by various convex functions.

Differential Equations: Theory, Technique, and Practice with Boundary Value Problems presents classical ideas and cutting-edge techniques for a contemporary, undergraduate-level, one- or two-semester course on ordinary differential equations.

This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012.

Regarding the set of all feature attributes in a given database as the universal set, this monograph discusses various nonadditive set functions that describe the interaction among the contributions from feature attributes towards a considered target attribute.

This book explores the role of fractional calculus and associated partial differential equations in modeling multiscale phenomena and overlapping macroscopic & microscopic scales, offering an innovative and powerful tool for modeling complex systems.

This proceedings volume widely surveys new problems, methods and techniques in mathematical physics.

This self-tutorial offers a concise yet thorough introduction into the mathematical analysis of approximation methods for partial differential equation.

Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of

Multiplicative Differential Equations: Volume I is the first part of a comprehensive approach to the subject.

This book presents the general theory of categorical closure operators to- gether with a number of examples, mostly drawn from topology and alge- bra, which illustrate the general concepts in several concrete situations.

This book considers dynamic boundary value problems in domains with singularities of two types.

This work thoroughly covers the concepts and main results of probability theory, from its fundamental principles to advanced applications.

This book contains eleven original and survey scientific research articles arose from presentations given by invited speakers at International Workshop on Image Processing and Inverse Problems, held in Beijing Computational Science Research Center, Beijing, China, April 21-24, 2018.

This book is devoted to some topics of the general theory of invariant and quasi-invariant measures.

This book consists of five chapters presenting problems of current research in mathematics, with its history and development, current state, and possible future direction.

This book concerns matrix nearness problems in the framework of spectral optimization.

The Mathieu series is a functional series introduced by Emile Leonard Mathieu for the purposes of his research on the elasticity of solid bodies.

The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject.

This volume presents a systematic and mathematically rigorous exposition of methods for studying linear partial differential equations.

This volume brings together five contributions to mathematical fluid mechanics, a classical but still very active research field which overlaps with physics and engineering.

The theory of almost periodic functions is a very active field of research for scholars.

This book presents recent research results from a selection of the talks presented in the international symposium "e;New Trends in Approximation and Applications"e;, held at Oujda, Morocco, in June 2022.

The "e;Hyperboloidal Foliation Method"e; introduced in this monograph is based on a (3 + 1) foliation of Minkowski spacetime by hyperboloidal hypersurfaces.

The present book carefully studies the blow-up phenomenon of solutions to partial differential equations, including many equations of mathematical physics.

Morrey spaces were introduced by Charles Morrey to investigate the local behaviour of solutions to second order elliptic partial di?

Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation.

Updates in this second edition include two brand new chapters and an even more comprehensive bibliography.

Nonlinear Partial Differential Equations (PDEs) have become increasingly important in the description of physical phenomena.

This book collects many of the presented papers, as plenary presentations, mini-symposia invited presentations, or contributed talks, from the European Conference on Numerical Mathematics and Advanced Applications (ENUMATH) 2017.

This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field.

This book contains a collection of survey papers by leading researchers in ergodic theory, low-dimensional and topological dynamics.

This book contains a collection of articles on the topics mentioned in the title or closely related to them, and is dedicated to Prof Aristide Halanay from the University of Bucharest, Romania, in occasion of his 70th birthday.

Time delayed (lagged) variables are an inherent feature of biological/physiological systems.

The book provides a pedagogic and comprehensive introduction to homogenization theory with a special focus on problems set for non-periodic media.

This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs).

Many mathematical problems in science and engineering are defined by ordinary or partial differential equations with appropriate initial-boundary conditions.

The third of three volumes on partial differential equations, this is devoted to nonlinear PDE.

The main aim of this book is to present several results related to functions of unitary operators on complex Hilbert spaces obtained, by the author in a sequence of recent research papers.

Numerical partial differential equations (PDEs) are an important part of numerical simulation, the third component of the modern methodology for science and engineering, besides the traditional theory and experiment.