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Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems - Rilegato
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This text is for graduate students and researchers who have had at least a standard graduate course in ordinary differential equations (ODEs). Some sections of the book contain more advanced material, particularly nonlinear functional analysis and some topics in the calculus of variations. Readers with only a graduate course in ODEs will find this material challenging. The book presents classic proofs and modern methods for the analysis of boundary value problems for ODEs. In many cases, several approaches are given for solving the same problem. Emphasis is on mathematical techniques, rather than results or applications, although applied problems illustrate the techniques. Chapter exercises and proofs are included. The final chapter presents three unsolved problems. Information on the authors is not given. Annotation ©2012 Book News, Inc., Portland, OR (booknews.com)
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Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems (Graduate Studies in Mathematics)
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American Mathematical Society, 2012
ISBN 10: 0821846949
ISBN 13: 9780821846940
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Condizione: New. Series: Graduate Studies in Mathematics. Num Pages: 373 pages, Illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 262 x 184 x 25. Weight in Grams: 836. . 2012. hardcover. . . . . Codice articolo V9780821846940
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Classical Methods in Ordinary Differential Equations
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Classical Methods in Ordinary Differential Equations
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American Mathematical Society, US, 2012
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ISBN 13: 9780821846940
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Hardback. Condizione: New. This text emphasises rigourous mathematical techniques for the analysis of boundary value problems for ODEs arising in applications. The emphasis is on proving existence of solutions, but there is also a substantial chapter on uniqueness and multiplicity questions and several chapters which deal with the asymptotic behaviour of solutions with respect to either the independent variable or some parameter. These equations may give special solutions of important PDEs, such as steady state or travelling wave solutions. Often two, or even three, approaches to the same problem are described. The advantages and disadvantages of different methods are discussed. The book gives complete classical proofs, while also emphasising the importance of modern methods, especially when extensions to infinite dimensional settings are needed. There are some new results as well as new and improved proofs of known theorems. The final chapter presents three unsolved problems which have received much attention over the years.Both graduate students and more experienced researchers will be interested in the power of classical methods for problems which have also been studied with more abstract techniques. The presentation should be more accessible to mathematically inclined researchers from other areas of science and engineering than most graduate texts in mathematics. Codice articolo LU-9780821846940
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Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems (Graduate Studies in Mathematics)
Editore:
American Mathematical Society, 2011
ISBN 10: 0821846949
ISBN 13: 9780821846940
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Condizione: New. Series: Graduate Studies in Mathematics. Num Pages: 373 pages, Illustrations. BIC Classification: PBKJ. Category: (G) General (US: Trade). Dimension: 262 x 184 x 25. Weight in Grams: 836. . 2012. hardcover. . . . . Books ship from the US and Ireland. Codice articolo V9780821846940
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Classical Methods in Ordinary Differential Equations: With Applications to Boundary Value Problems
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American Mathematical Society, 2011
ISBN 10: 0821846949
ISBN 13: 9780821846940
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Classical Methods in Ordinary Differential Equations (Graduate Studies in Mathematics)
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American Mathematical Society, 2011
ISBN 10: 0821846949
ISBN 13: 9780821846940
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Classical Methods in Ordinary Differential Equations
Editore:
American Mathematical Society, US, 2012
ISBN 10: 0821846949
ISBN 13: 9780821846940
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Hardback. Condizione: New. This text emphasises rigourous mathematical techniques for the analysis of boundary value problems for ODEs arising in applications. The emphasis is on proving existence of solutions, but there is also a substantial chapter on uniqueness and multiplicity questions and several chapters which deal with the asymptotic behaviour of solutions with respect to either the independent variable or some parameter. These equations may give special solutions of important PDEs, such as steady state or travelling wave solutions. Often two, or even three, approaches to the same problem are described. The advantages and disadvantages of different methods are discussed. The book gives complete classical proofs, while also emphasising the importance of modern methods, especially when extensions to infinite dimensional settings are needed. There are some new results as well as new and improved proofs of known theorems. The final chapter presents three unsolved problems which have received much attention over the years.Both graduate students and more experienced researchers will be interested in the power of classical methods for problems which have also been studied with more abstract techniques. The presentation should be more accessible to mathematically inclined researchers from other areas of science and engineering than most graduate texts in mathematics. Codice articolo LU-9780821846940
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