Differential calculus and equations

The contributions in this volume have been written by eminent scientists from the international mathematical community and present significant advances in several theories, methods and problems of Mathematical Analysis, Discrete Mathematics, Geometry and their Applications.

This monograph develops an innovative approach that utilizes the Birman-Schwinger principle from quantum mechanics to investigate stability properties of steady state solutions in galactic dynamics.

This book covers novel research on construction and analysis of optimal cryptographic functions such as almost perfect nonlinear (APN), almost bent (AB), planar and bent functions.

The book lies at the interface of mathematics, social media analysis, and data science.

There is an explosion of interest in dynamical systems in the mathematical community as well as in many areas of science.

This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems.

This book contains the historical development of the seminal paper of Adolf Hurwitz, professor in mathematics at ETH (1892~1919), and its impact on other fields.

Harmonic and biharmonic boundary value problems (BVP) arising in physical situations in fluid mechanics are, in general, intractable by analytic techniques.

This compact monograph is focused on disturbance attenuation in nonsmooth dynamic systems, developing an Hinfinity approach in the nonsmooth setting.

Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations.

This book provides an overview of the state of the art in important subjects, including - besides elliptic and parabolic issues - geometry, free boundary problems, fluid mechanics, evolution problems in general, calculus of variations, homogenization, control, modeling and numerical analysis.

This monograph provides a state-of-the-art, self-contained account on the effectiveness of the method of boundary layer potentials in the study of elliptic boundary value problems with boundary data in a multitude of function spaces.

This book presents, for the first time, a systematic formulation of the geometric theory of noncommutative PDE's which is suitable enough to be used for a mathematical description of quantum dynamics and quantum field theory.

This textbook is a comprehensive overview of the construction, implementation, and application of important numerical methods for the solution of Initial Value Problems (IVPs).

This book is written for quantitative finance professionals, students, educators, and mathematically inclined individual investors.

Decomposition Methods for Differential Equations: Theory and Applications describes the analysis of numerical methods for evolution equations based on temporal and spatial decomposition methods.

The book concerns with solving about 650 ordinary and partial differential equations.

This volume constitutes the proceedings of the International Conference on Dynamical Systems in Honor of Prof.

In addition to explaining and modeling unexplored phenomena in nature and society, chaos uses vital parts of nonlinear dynamical systems theory and established chaotic theory to open new frontiers and fields of study.

A leading authority sheds light on a variety of interesting topics in which probability theory plays a key role.

Experts of fluid dynamics agree that turbulence is nonlinear and nonlocal.

The study of measure-valued processes in random environments has seen some intensive research activities in recent years whereby interesting nonlinear stochastic partial differential equations (SPDEs) were derived.

This book is an expanded version of a Master Class on the symmetric bifurcation theory of differential equations given by the author at the University of Twente in 1995.

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

This is a version of Gevrey''s classical treatise on the heat equations.

This book presents recent methods of study on the asymptotic behavior of solutions of abstract differential equations such as stability, exponential dichotomy, periodicity, almost periodicity, and almost automorphy of solutions.

This introductory text acts as a singular resource for undergraduates learning the fundamental principles and applications of integration theory.

This book has a two-fold purpose:An introduction to the computer-based modeling of influenza, a continuing major worldwide communicable disease.

The book provides a comprehensive overview on the theory on analysis of singularities for partial differential equations (PDEs).

This book, which is a continuation of Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces, presents recent trends and developments upon fractional, first, and second order semilinear difference and differential equations, including degenerate ones.

In this volume, leading experts on differential equations address recent advances in the fields of ordinary differential equations and dynamical systems, partial differential equations and calculus of variations, and their related applications.

The articles in this collection are a sampling of some of the research presented during the conference "e;Stochastic Analysis and Related Topics"e;, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Banuelos.

Dynamical system theory has developed rapidly over the past fifty years.

This book provides a short introduction to partial differential equations (PDEs).

Maximum principles are bedrock results in the theory of second order elliptic equations.

Presenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints.

This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics.

Combining geometrical and microlocal tools, this monograph gives detailed proofs of many well/ill-posed results related to the Cauchy problem for di?

This book reflects a significant part of authors' research activity dur- ing the last ten years.

Dieses mit ausgefallenen und lehrreichen Beispielen versehene Buch beinhaltet die wesentlichen Aspekte der mehrdimensionalen Analysis und der gewöhnlichen Differentialgleichungen.

Presenting a comprehensive theory of orthogonal polynomials in two real variables and properties of Fourier series in these polynomials, this volume also gives cases of orthogonality over a region and on a contour.

Engineers and scientists need to have an introduction to the basics of linear algebra in a context they understand.

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