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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 Diļ¬erential Equations. Basic Ideas in Control Theory. Additional Notes. References. Index
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Filename
Size
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20.1 MB
Abell M., Braselton J. Introductory Differential Equations 5ed 2018.pdf
22.3 MB
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100 MB
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11.9 MB
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4.2 MB
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5.1 MB
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16 MB
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117.6 MB
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12.9 MB
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10.9 MB
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10 MB
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8.7 MB
Fernandez-Cara E. Ordinary Differential Equations and Applications 2023.pdf
10.2 MB
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11.8 MB
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4.8 MB
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14.3 MB
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13.7 MB
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4.9 MB
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22.1 MB
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17 MB
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26 MB
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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
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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
