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- PDE - Theory and Applications of Partial Differential Equations
- MATH2121 Theory and Applications of Differential Equations
- 1st Edition

The purpose of this four volume series is to make available for college teachers and The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem View Product. This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in This monograph provides a unified and comprehensive treatment of an order-theoretic fixed point theory in partially ordered sets and its various useful interactions with topological structures.

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The material progresses systematically, by presenting the preliminaries before moving to more advanced topics. Hamiltonian Partial Differential Equations and Applications.

This book is a unique selection of work by world-class experts exploring the latest developments This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Handbook of Functional Equations: Stability Theory. This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations.

The book Since the semigroup refers to Fokker-Planck equations on infinite-dimensional spaces, the Harnack inequalities the Nonoscillation Theory of Functional Differential Equations with. This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations.

## PDE - Theory and Applications of Partial Differential Equations

In view of this objective the volume considers a wide class of Optimization and Optimal Control: Theory and Applications. Optimization and optimal control are the main tools in decision making. Because of their numerous Because of their numerous applications in various disciplines, research in these areas is accelerating at a rapid pace. Optimization-Theory and Applications: Problems with Ordinary.

This book has grown out of lectures and courses in calculus of variations and optimization Enabling JavaScript in your browser will allow you to experience all the features of our site.

## MATH2121 Theory and Applications of Differential Equations

Learn how to enable JavaScript on your browser. The book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics. It not only has a large number of examples and computer graphics, but also has a complete collection of proofs for the major theorems, ranging from the usual existence and uniqueness results to the Hartman-Grobman linearization theorem and the Jordan canonical form theorem.

The book can be used almost exclusively in the traditional way for graduate math courses, or it can be used in an applied way for interdisciplinary courses involving physics, engineering, and other science majors. For this reason an extensive computer component using Maple is provided on Springer's website. This new edition has been extensively revised throughout, particularly the chapters on linear systems, stability theory and Hamiltonian systems.

The computer component is an in-depth supplement and complement to the material in the text and contains an introduction to discrete dynamical systems and iterated maps, special-purpose Maple code for animating phase portraits, stair diagrams, N-body motions, and rigid-body motions, and numerous tutorial Maple worksheets pertaining to all aspects of using Maple to study the topics in the text. See All Customer Reviews. Shop Books. Add to Wishlist.

USD Sign in to Purchase Instantly. Overview The book provides a comprehensive introduction to the theory of ordinary differential equations at the graduate level and includes applications to Newtonian and Hamiltonian mechanics.

### 1st Edition

Product Details Table of Contents. Table of Contents 1 Introduction 1 1.

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Differential Equation Models. The purpose of this four volume series is to make available for college teachers and The purpose of this four volume series is to make available for college teachers and students samples of important and realistic applications of mathematics which can be covered in undergraduate programs. The goal is to provide illustrations of how modem View Product.