Differential calculus and equations

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 provides a thorough conversation on the underpinnings of Covid-19 spread modelling by using stochastics nonlocal differential and integral operators with singular and non-singular kernels.

The book serves as a primary textbook of partial differential equations (PDEs), with due attention to their importance to various physical and engineering phenomena.

This textbook highlights the theory of fractional calculus and its wide applications in mechanics and engineering.

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In mathematical physics, one of the fascinating issues is the study of integrable systems.

This book discusses the numerical treatment of delay differential equations and their applications in bioscience.

The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science.

This book is aimed to make careful analysis to various mathematical problems derived from shock reflection by using the theory of partial differential equations.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry.

This book presents a unique fusion of two different research topics.

This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations.

This book gathers original research papers and survey articles presented at the "e;International Conference on Class Groups of Number Fields and Related Topics,"e; held at Harish-Chandra Research Institute, Allahabad, India, on September 4-7, 2017.

This book provides detailed information on index theories and their applications, especially Maslov-type index theories and their iteration theories for non-periodic solutions of Hamiltonian systems.

This monograph presents a modern treatment of (1) stochastic differential equations and (2) diffusion and jump-diffusion processes.

This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations.

This is the first book on the subject of the periodic unfolding method (originally called "e;eclatement periodique"e; in French), which was originally developed to clarify and simplify many questions arising in the homogenization of PDE's.

This book provides a detailed study of recent results in metric fixed point theory and presents several applications in nonlinear analysis, including matrix equations, integral equations and polynomial approximations.

This book focuses on the qualitative theory in structural mechanics, an area that remains underdeveloped.

This book discusses a variety of topics related to industrial and applied mathematics, focusing on wavelet theory, sampling theorems, inverse problems and their applications, partial differential equations as a model of real-world problems, computational linguistics, mathematical models and methods for meteorology, earth systems, environmental and medical science, and the oil industry.

This book is concerned with functional methods (nonlinear semigroups of contractions, nonlinear m-accretive operators and variational techniques) in the theory of nonlinear partial differential equations of elliptic and parabolic type.

There has been a great advancement in the study of fractional-order nonlocal nonlinear boundary value problems during the last few decades.

This book provides a comprehensive introduction to the study of hyperbolicity in both linear and nonlinear delay equations.

The nature of time in a nonautonomous dynamical system is very different from that in autonomous systems, which depend only on the time that has elapsed since starting rather than on the actual time itself.

This book is devoted to the study of existence of solutions or positive solutions for various classes of Riemann-Liouville and Caputo fractional differential equations, and systems of fractional differential equations subject to nonlocal boundary conditions.

The theory of multivalued maps and the theory of differential inclusions are closely connected and intensively developing branches of contemporary mathematics.

'This booklet provides a very lucid and versatile introduction to the methods of linear partial differential equations.

This book formulates the kinematical conservation laws (KCL), analyses them and presents their applications to various problems in physics.

This book provides explicit representations of finite-dimensional simple Lie algebras, related partial differential equations, linear orthogonal algebraic codes, combinatorics and algebraic varieties, summarizing the author's works and his joint works with his former students.

This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems.

The book presents major topics in semigroups, such as operator theory, partial differential equations, harmonic analysis, probability and statistics and classical and quantum mechanics, and applications.

This is the first book to treat combinatorial and geometric aspects of two-dimensional solitons.

This self-contained textbook discusses all major topics in functional analysis.

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

This book focuses on the theory of the Zakharov system in the context of plasma physics.

This book presents recent findings on the global existence, the uniqueness and the large-time behavior of global solutions of thermo(vis)coelastic systems and related models arising in physics, mechanics and materials science such as thermoviscoelastic systems, thermoelastic systems of types II and III, as well as Timoshenko-type systems with past history.

This book discusses recent developments in and contemporary research on summability theory, including general summability methods, direct theorems on summability, absolute and strong summability, special methods of summability, functional analytic methods in summability, and related topics and applications.

Interfaces are created to separate two distinct phases in a situation in which phase coexistence occurs.

Este libro ofrece al lector la información necesaria para abordar la resolución de problemas de cálculo simbólico y gráfico a través de MAPLE®, con un desarrollo progresivo de contenidos que le permitirán dominar el entorno de trabajo de este programa, su funcionamiento y, sobre todo, las posibilidades que ofrece.

This book contains details of the properties that satisfy certain function spaces and vector-valued distributions defined in the n-dimensional torus.

El libro ¿Cómo llegar a ser un aprendiz estratégico de Cálculo Diferencial?

Ecuaciones diferenciales recoge nuestra experiencia como profesores del curso sobre este tema, y presenta un texto mas acorde a las necesidades academicas de los estudiantes.

The book "e;Single variable Differential and Integral Calculus"e; is an interesting text book for students of mathematics and physics programs, and a reference book for graduate students in any engineering field.

The guiding light of this monograph is a question easy to understand but difficult to answer: {What is the shape of the universe?

The approximation of a continuous function by either an algebraic polynomial, a trigonometric polynomial, or a spline, is an important issue in application areas like computer-aided geometric design and signal analysis.