Differential calculus and equations

This work focuses on the preservation of attractors and saddle points of ordinary differential equations under discretisation.

This book studies the theoretical aspects for a variety of coupled fractional differential systems involving Riemann-Liouville, Caputo, ?

Improper Riemann Integrals is the first book to collect classical and modern material on the subject for undergraduate students.

The material collected in this volume discusses the present as well as expected future directions of development of the field with particular emphasis on applications.

The LNCS journal Transactions on Computational Science reflects recent developments in the field of Computational Science, conceiving the field not as a mere ancillary science but rather as an innovative approach supporting many other scientific disciplines.

This book develops continuum modeling skills and approaches the topic from three sides: (1) derivation of global integral laws together with the associated local differential equations, (2) design of constitutive laws and (3) modeling boundary processes.

Spectral properties for Schrodinger operators are a major concern in quantum mechanics both in physics and in mathematics.

This book presents an in-depth study on advances in constructive approximation theory with recent problems on linear positive operators.

This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics.

"e;Hypernumbers and Extrafunctions"e; presents a rigorous mathematical approach to operate with infinite values.

"e;This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology.

This book addresses the issue of uniqueness of a solution to a problem - a very important topic in science and technology, particularly in the field of partial differential equations, where uniqueness guarantees that certain partial differential equations are sufficient to model a given phenomenon.

The objective of this self-contained book is two-fold.

Differential equations play a vital role in the fields of engineering and science.

Extending and generalizing the results of rational equations,Dynamics of Third Order Rational Difference Equations with Open Problems and Conjectures focuses on the boundedness nature of solutions, the global stability of equilibrium points, the periodic character of solutions, and the convergence to periodic solutions, including their p

This book presents and discusses the state of the art and future perspectives in mathematical modeling and homogenization techniques with the focus on addressing key physiological issues in the context of multiphase healthy and malignant biological materials.

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner.

In diesem Lehrbuch werden die Methoden der Funktionalanalysis mit ihren Anwendungen in der Theorie elliptischer Differentialgleichungen behandelt.

The analysis of PDEs is a prominent discipline in mathematics research, both in terms of its theoretical aspects and its relevance in applications.

The inverse scattering problem is central to many areas of science and technology such as radar and sonar, medical imaging, geophysical exploration and nondestructive testing.

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This lecture notes volume encompasses four indispensable mini courses delivered at Wuhan University with each course containing the material from five one-hour lectures.

Dieses Übungsbuch befasst sich mit dem Gebiet Signale und Systeme und beinhaltet insbesondere die Themen reelle und komplexe Fourier-Reihen, Differentialgleichungen, Faltung, Fourier- und Laplacetransformation.

This book presents an in-depth study of the discrete nonlinear Schrodinger equation (DNLSE), with particular emphasis on spatially small systems that permit analytic solutions.

Stable solutions are ubiquitous in differential equations.

This book starts by introducing the fundamental concepts of mathematical continuum mechanics for fluids and solids and their coupling.

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Working with mathematical models today requires in-depth knowledge of recent methods developed for solving nonlinear differential equations.

This is the first publication which follows an agreement by Kluwer Publishers with the Caribbean Mathematics Foundation (CMF), to publish the proceedings of its mathematical activities.

This volume contains lecture notes from the coursesgiven by Vlad Bally and Rama Cont at the Barcelona Summer School on StochasticAnalysis (July 2012).

Goals and Emphasis of the Book Mathematicians have begun to find productive ways to incorporate computing power into the mathematics curriculum.

New Developments in Differential Equations

Nonlinear analysis has developed rapidly in the last three decades.

This volume presents lectures given at the Wisla 20-21 Winter School and Workshop: Groups, Invariants, Integrals, and Mathematical Physics, organized by the Baltic Institute of Mathematics.

Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics.

This book contains the main results of the authors' investigations on the development and application of numerical-analytic methods for ordinary nonlinear boundary value problems (BVPs).

This book, which is based on several courses of lectures given by the author at the Independent University of Moscow, is devoted to Sobolev-type spaces and boundary value problems for linear elliptic partial differential equations.

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

This book introduces the method of lower and upper solutions for ordinary differential equations.

Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences.

A comprehensive course on entropy in dynamical systems ideal for graduate students learning the subject from scratch.

In the spring of 1999, I taught (at CARNEGIEMELLON University) a graduate course entitled Partial Di?

This book presents a systematic exposition of the main ideas and methods in treating inverse problems for PDEs arising in basic mathematical models, though it makes no claim to being exhaustive.

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

The contributions in this volume give an insight into current research activities in Shape Optimization, Homogenization and Optimal Control performed in Africa, Germany and internationally.