000			03224nam a22003137a 4500
003			OSt
005			20250728161421.0
008			250728b |||||||| |||| 00| 0 eng d
020			_a9781800613966
020			_a9798886130935 (pbk.) _c$ 58.00
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a515.35 _bCAR _223rd
100			_aFernández-Cara, Enrique _95493
222			_aMathematics
245			_aOrdinary differential equations and applications
250			_a1st Indian ed.
260			_aSingapore : _bWorld Scientific Publishing Co. Pte. Ltd., _c2024
300			_axxiv, 325 p. : _bill. ; _c23cm
440			_aEssential Textbooks in Mathematics _95494
504			_aIncludes illustrations. Contents: Preface About the Author Acknowledgments The Notation and Preliminary Results Introduction Basic Concepts 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 Readership: Undergraduate and graduate students, especially those interested by the role played by differential equations in mathematics and science in general.
520			_aDifferential 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.
650			_aMathematics
650			_aAnalysis
650			_aDifferential calculus and equations _92485
650			_aDifferential equations
650			_aOrdinary differential equations _95495
942			_2ddc _cBK
999			_c4269 _d4269