Differential calculus and equations

This book provides a crash course on various methods from the bifurcationtheory of Functional Differential Equations (FDEs).

This book provides a modern perspective on the analytic structure of scattering amplitudes in quantum field theory, with the goal of understanding and exploiting consequences of unitarity, causality, and locality.

This introductory text combines models from physics and biology with rigorous reasoning in describing the theory of ordinary differential equations along with applications and computer simulations with Maple.

Advanced Differential Equations provides coverage of high-level topics in ordinary differential equations and dynamical systems.

The first two editions of An Introduction to Partial Differential Equations with MATLAB(R) gained popularity among instructors and students at various universities throughout the world.

The authors examine topics in modern physics and offer a unitary and original treatment of the fundamental problems of the dynamics of physical systems, as well as a description of the nuclear matter within a framework of general relativity.

This book is an introduction to a comprehensive and unified dynamic transition theory for dissipative systems and to applications of the theory to a range of problems in the nonlinear sciences.

Since the first edition of this book the literature on fitted mesh methods for singularly perturbed problems has expanded significantly.

This monograph contains expert knowledge on complex fluid-flows in microfluidic devices.

In this book the authors use a technique based on recurrence relations to study the convergence of the Newton method under mild differentiability conditions on the first derivative of the operator involved.

Praise for the First Edition: "e;This book is well conceived and well written.

Pseudoanalytic function theory generalizes and preserves many crucial features of complex analytic function theory.

This book provides some recent advance in the study of stochastic nonlinear Schrodinger equations and their numerical approximations, including the well-posedness, ergodicity, symplecticity and multi-symplecticity.

This text discusses the qualitative properties of dynamical systems including both differential equations and maps.

To help solve physical and engineering problems, mimetic or compatible algebraic discretization methods employ discrete constructs to mimic the continuous identities and theorems found in vector calculus.

This book compiles an extensive list of solved and proposed problems in mathematical topics in analysis, aimed at students of mathematics, applied mathematics, physics, and engineering.

A compact treatment that takes the reader from simple examples to current research involving ordinary differential equations.

Multiple Fixed-Point Theorems and Applications in the Theory of ODEs, FDEs and PDEs covers all the basics of the subject of fixed-point theory and its applications with a strong focus on examples, proofs and practical problems, thus making it ideal as course material but also as a reference for self-study.

This volume presents a systematic and unified treatment of Leray-Schauder continuation theorems in nonlinear analysis.

This volume is a collection of research-and-survey articles by eminent and active workers around the world on the various areas of current research in the theory of analytic functions.

Stochastic Differential Equations and Diffusion Processes

This book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in biology.

This book deals with the modeling, analysis and simulation of problems arising in the life sciences, and especially in biological processes.

It is hardly an exaggeration to say that, if the study of general topolog- ical vector spaces is justified at all, it is because of the needs of distribu- tion and Linear PDE * theories (to which one may add the theory of convolution in spaces of hoi om orphic functions).

Multiplicative Differential Equations: Volume II is the second part of a comprehensive approach to the subject.

The stochastic Maxwell equations play an essential role in many fields, including fluctuational electrodynamics, statistical radiophysics, integrated circuits, and stochastic inverse problems.

This book deals with the existence and stability of solutions to initial and boundary value problems for functional differential and integral equations and inclusions involving the Riemann-Liouville, Caputo, and Hadamard fractional derivatives and integrals.

An outgrowth of The Seventh International Conference on Integral Methods in Science and Engineering, this book focuses on applications of integration-based analytic and numerical techniques.

This textbook offers an engaging account of the theory of ordinary differential equations intended for advanced undergraduate students of mathematics.

The NLAGA's Biennial International Research Symposium (NLAGA-BIRS) is intended to gather African expertises in Nonlinear Analysis, Geometry and their Applications with their international partners in a four days conference where new mathematical results are presented and discussed.

Inverse scattering problems are a vital subject for both theoretical and experimental studies and remain an active field of research in applied mathematics.

Although twistor theory originated as an approach to the unification of quantum theory and general relativity, twistor correspondences and their generalizations have provided powerful mathematical tools for studying problems in differential geometry, nonlinear equations, and representation theory.

This is a memorial volume in honor of Serguei Kozlov, one of the founders of homogenization, a new branch of mathematical physics.

The main result of this book is a proof of the contradictory nature of the NavierStokes problem (NSP).

Equations of state are not always effective in continuum mechanics.

This book provides a comprehensive analysis of the existence of weak solutions of unsteady problems with variable exponents.

The book combines both rigor and intuition to derive most of the classical results of linear and nonlinear filtering and beyond.

Since the 1960s, many researchers have extended topological degree theory to various non-compact type nonlinear mappings, and it has become a valuable tool in nonlinear analysis.

The Theory of Difference Schemes emphasizes solutions to boundary value problems through multiple difference schemes.

This book provides an overview of different topics related to the theory of partial differential equations.

Surely most geodesists have been occupied by seeking optimal shapes of a net- work.

Variational Techniques for Elliptic Partial Differential Equations, intended for graduate students studying applied math, analysis, and/or numerical analysis, provides the necessary tools to understand the structure and solvability of elliptic partial differential equations.