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Fernandez-Cara E Ordinary Differential Equations and Applications 2023

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Differential equations can bring mathematics to life, describing phenomena originating in physics, chemistry, biology, economics, and more. Used by scientists and engineers alike, differential equations are also the starting point of much purely mathematical activity. They also play a role in the formulation and resolution of problems in harmonic analysis, differential geometry, and probability calculus. A large part of functional analysis has therefore been motivated by the need to solve questions in the analysis of differential systems, as with numerical analysis. Differential equations are doubly relevant, then: as significant in many areas of mathematics, and as important machinery for applying mathematics to real-world problems. This book therefore aims to provide a rigorous introduction to the theoretical study of differential equations, and to demonstrate their utility with applications in many fields. Ordinary Differential Equations and Applications originates from several courses given by the author for decades at the University of Seville. It aims to bring together rigorous mathematical theory and the rich variety of applications for differential equations. The book examines many aspects of differential equations: their existence, uniqueness, and regularity, alongside their continuous dependence on data and parameters. Delving into permanent interpretation of the laws of differential equations, we also look at the role of data and how their solutions behave. Each chapter finishes with a collection of exercises, many of which also contain useful hints.
Preface.
About the Author.
Acknowledgments.
The Notation and Preliminary Results.
Introduction.
The Cauchy Problem: Local Analysis.
Uniqueness.
The Cauchy Problem: Global Analysis.
Cauchy Problems and Linear Systems.
Boundary-Value Problems for Linear Systems.
Some Regularity Results.
Stability Results.
The Method of Characteristics for First-Order Linear and Quasi-Linear Partial Differential Equations.
Basic Ideas in Control Theory.
Additional Notes.
References.
Index

File list
  • Fernandez-Cara E Ordinary Differential Equations and Applications 2023
  • Abell M., Braselton J. Introductory Differential Equations 4ed 2014.pdf 20.1 MB
  • Abell M., Braselton J. Introductory Differential Equations 5ed 2018.pdf 22.3 MB
  • Abell M., Braselton J. Introductory Differential Equations with BVP 3ed 2010.pdf 100 MB
  • Blanchard P., Devaney R. Differential Equations 4ed 2011.pdf 11.9 MB
  • Boyce W., DiPrima R. Elementary Differential Equations 10ed 2012.pdf 4.2 MB
  • Boyce W.,DiPrima R. Elementary Differential Equations and BVP 10ed 2012.pdf 5.1 MB
  • Boyce W.,DiPrima R. Elementary Differential Equations and BVP 11ed 2017.pdf 16 MB
  • Boyce W.,DiPrima R. Elementary Differential Equations and BVP 12ed 2022.pdf 117.6 MB
  • Edwards C Differential Equations. Computing and Modeling 5ed 2013.pdf 12.9 MB
  • Edwards C. Differential Equations and BVP. Computing...Modeling 5ed 2015.pdf 10.9 MB
  • Edwards C. Differential Equations and Linear Algebra 4ed 2018.pdf 10 MB
  • Edwards H. Elementary Differential Equations with BVP 6ed 2008.pdf 8.7 MB
  • Fernandez-Cara E. Ordinary Differential Equations and Applications 2023.pdf 10.2 MB
  • Goode S. Differential Equations and Linear Algebra 4ed 2017.pdf 11.8 MB
  • Haberman R. Applied Partial Differential Equations 4ed 2005 ISM.pdf 4.8 MB
  • Haberman R. Applied Partial Differential Equations 4ed 2005.pdf 14.3 MB
  • Haberman R. Applied Partial Differential Equations 5ed 2012.pdf 13.7 MB
  • Kohler W. Elementary Differential Equations with BVP 2ed 2006.pdf 4.9 MB
  • Manas M. Boundary Value Problems for Linear Partial Diff. Equ. 2024.pdf 22.1 MB
  • Nagle K. Fundamentals of Differential Equations 9ed 2018.pdf 17 MB
  • Nagle K. Fundamentals of Differential Equations Global 9ed 2019.pdf 26 MB
  • Nagle R. Fundamentals of Differential Equations and BVP 6ed 2011.pdf 8.8 MB
  • Nagle R. Fundamentals of Differential Equations and BVP 7ed 2018.pdf 117.3 MB
  • Polking J. Ordinary Differential Equations Using MATLAB 3ed 2003.pdf 10.3 MB
  • Readme-!!!_Math..txt 1.2 KB
  • Ross S. Introduction to Ordinary Differential Equations 4ed 1989.djvu 7.6 MB
  • Ross S. Introduction to Ordinary Differential Equations 4ed 1989.pdf 22.9 MB
  • Zill D. A First Course in Differential Equations with Modeling Apps 11ed 2018.pdf 20.8 MB
  • Zill D. A First Course in Differential Equations with Modeling Apps 12ed 2024.pdf 26.6 MB
  • Zill D. Differential Equations with Boundary-Value Problems 8ed 2012.pdf 17.2 MB
  • Zill D. Differential Equations with Boundary-Value Problems 9ed 2018.pdf 7.9 MB

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