Differential Equations 74

Presenting some impressive recent achievements in differential geometry and topology, this volume focuses on results obtained using techniques based on Ricci flow. These ideas are at the core of the……続きを見る

The main purpose of this book is to provide a simple and accessible introduction to the mixed finite element method as a fundamental tool to numerically solve a wide class of boundary value problems……続きを見る

This book develops the theory of ordinary differential equations (ODEs), starting from an introductory level (with no prior experience in ODEs assumed) through to a graduate-level treatment of the q……続きを見る

Abstract models for many problems in science and engineering take the form of an operator equation. The resolution of these problems often requires determining the existence and uniqueness of soluti……続きを見る

The existence and qualitative properties of nontrivial solutions for some important nonlinear Schrӧdinger systems have been studied in this thesis. For a well-known system arising from nonlinear opt……続きを見る

Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical so……続きを見る

This monograph presents the most recent progress in bifurcation theory of impulsive dynamical systems with time delays and other functional dependence. It covers not only smooth local bifurcations, ……続きを見る

This monograph focuses on the partial regularity theorem, as developed by Caffarelli, Kohn, and Nirenberg (CKN), and offers a proof of the upper bound on the Hausdorff dimension of the singular set ……続きを見る

Inverse limits with set-valued functions are quickly becoming a popular topic of research due to their potential applications in dynamical systems and economics. This brief provides a concise introd……続きを見る

The main goal of this book is to provide an overview of the state of the art in the mathematical modeling of complex fluids, with particular emphasis on its thermodynamical aspects. The central topi……続きを見る

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defin……続きを見る

This book covers a diverse range of topics in Mathematical Physics, linear and nonlinear PDEs. Though the text reflects the classical theory, the main emphasis is on introducing readers to the lates……続きを見る

This book presents the topological derivative method through selected examples, using a direct approach based on calculus of variations combined with compound asymptotic analysis. This new concept i……続きを見る

A newly updated and authoritative exploration of differential and difference equations used in queueing theory In the newly revised second edition of Differential and Difference Equations with Appli……続きを見る

This book is based on the lecture notes for the TCC (Taught Course Centre for graduates) course given by the author in Trinity Terms of 2009–2011 at the Mathematical Institute of Oxford University. ……続きを見る

This book offers a captivating journey through the world of elliptic partial differential equations (PDEs) and their surprising appearances across science, engineering, and even everyday life. Blend……続きを見る

Advanced Engineering Calculus is a content-rich, user-friendly and compact learning and teaching resource. It offers over 440 problems ー many with multiple parts ー as well as detailed figures to a……続きを見る

This monograph presents an integral method for analysing the dynamic behaviour of nonlinear, non-stationary, and controlled systems. The method is based on the use of nonlinear integral inequalities……続きを見る

Inverse Engineering Handbook, Second Edition, is a comprehensive resource that details methods of determining a “cause” from an observed “effect,” allowing readers to understand, implement, and bene……続きを見る

Mathematics is one of humanity's oldest and most powerful tools, shaping civilizations, science, and the way we understand the universe. A Short History of Mathematics takes readers on a fascinating……続きを見る

In diesem Buch entwickeln wir die mathematische Theorie zeitdiskreter dynamischer Systeme. Unser Schwerpunkt liegt hierbei auf der Definition sowie der qualitativen und quantitativen Untersuchung ch……続きを見る

This book provides a comprehensive study of numerical techniques for solving integral and integro-differential equations using wavelet-based approximation methods. It combines both theoretical insig……続きを見る

This book discusses the numerical treatment of delay differential equations and their applications in bioscience. A wide range of delay differential equations are discussed with integer and fraction……続きを見る

This monograph provides a timely overview of recent developments in classical Lie theory as well as concrete examples in applied mathematics and mathematical physics. Utilizing a comprehensive and s……続きを見る

This book provides a systematic summary and condensation of research on infinite-dimensional Hamiltonian operator spectrum theory over the past thirty years, and offers simple and concise proofs for……続きを見る

Dieses Buch richtet sich an Studierende in MINT-Studiengängen, die die Mathematik-Grundvorlesungen der ersten beiden Semester absolviert haben. Es vermittelt ein grundlegendes Verständnis der mehrdi……続きを見る

This book is written to innovate the standard course and to modernize it. There has been a dramatic change in the past century in how solutions to differential equations are calculated. However, the……続きを見る

This monograph provides a rigorous analysis of a wide range of stationary (steady state) boundary value problems for elliptic systems of Stokes and Navier-Stokes type, as encountered in fluid dynami……続きを見る

Hyperbolic systems of conservation laws are known to produce discontinuous solutions in finite time. These discontinuous solutions to a differential equation can be only carried on in the context of……続きを見る

This book is a monograph about hybrid networks of singular and non-singular, 1-dimensional flows and equilibriums in self and product polynomial systems. The higher-order singular 1-dimensional flow……続きを見る