Differential Equations

An Introduction to Basic Concepts, Results and Applications

Nonfiction, Science & Nature, Mathematics, Differential Equations, Calculus
Cover of the book Differential Equations by Ioan I Vrabie, World Scientific Publishing Company
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Ioan I Vrabie ISBN: 9789814749800
Publisher: World Scientific Publishing Company Publication: May 30, 2016
Imprint: WSPC Language: English
Author: Ioan I Vrabie
ISBN: 9789814749800
Publisher: World Scientific Publishing Company
Publication: May 30, 2016
Imprint: WSPC
Language: English

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, and gradient systems.

In this new edition, some typos have been corrected and two new topics have been added: Delay differential equations and differential equations subjected to nonlocal initial conditions. The bibliography has also been updated and expanded.

Contents:

  • Generalities
  • The Cauchy Problem
  • Approximation Methods
  • Systems of Linear Differential Equations
  • Elements of Stability
  • Prime Integrals
  • Extensions and Generalizations
  • Volterra Equations
  • Calculus of Variations
  • Nonlocal Problems
  • Delay Functional Differential Equations
  • Auxiliary Results

Readership: Graduate or undergraduate students dealing with analysis and differential equations, Volterra equations, calculus of variations and mathematical modeling.
Key Features:

  • Targeted at both high level undergraduate and first level graduate students in mathematics, physics and engineering
  • Offers a unitary and modern presentation of the main concepts and results
  • Simple introduction to several advanced topics
  • Plentiful illuminating examples and applications
  • Contains 36 figures and 178 exercises and problems completely solved
  • Written in an accessible and refreshing style
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, and gradient systems.

In this new edition, some typos have been corrected and two new topics have been added: Delay differential equations and differential equations subjected to nonlocal initial conditions. The bibliography has also been updated and expanded.

Contents:

Readership: Graduate or undergraduate students dealing with analysis and differential equations, Volterra equations, calculus of variations and mathematical modeling.
Key Features:

More books from World Scientific Publishing Company

Cover of the book Trade Policy in Asia by Ioan I Vrabie
Cover of the book The Fundamentals of Imaging by Ioan I Vrabie
Cover of the book Conformational Concept for Synthetic Chemist's Use by Ioan I Vrabie
Cover of the book 50 Years of Quarks by Ioan I Vrabie
Cover of the book Carbon Materials by Ioan I Vrabie
Cover of the book Cultural Patterns and Neurocognitive Circuits II by Ioan I Vrabie
Cover of the book The Strong Nonlinear Limit-Point/Limit-Circle Problem by Ioan I Vrabie
Cover of the book Principles of Quantum Computation and Information by Ioan I Vrabie
Cover of the book Behavioral Finance by Ioan I Vrabie
Cover of the book Flavonoids, Inflammation and Cancer by Ioan I Vrabie
Cover of the book Econometric Methods and Their Applications in Finance, Macro and Related Fields by Ioan I Vrabie
Cover of the book Inverse Problems by Ioan I Vrabie
Cover of the book Goh Keng Swee by Ioan I Vrabie
Cover of the book Statistical Paradigms by Ioan I Vrabie
Cover of the book Viruses: More Friends Than Foes by Ioan I Vrabie
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy