| Description |
1 online resource (xxii, 701 pages) : illustrations |
| Series |
Encyclopedia of mathematics and its applications ; v. 34 |
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Encyclopedia of mathematics and its applications ; v. 34.
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| Contents |
pt. 1. Linear theory -- pt. 2. General nonlinear theory -- pt. 3. Frequency domain and monotonicity techniques |
| Summary |
The rapid development of the theories of Volterra integral and functional equations has been strongly promoted by their applications in physics, engineering and biology. This text shows that the theory of Volterra equations exhibits a rich variety of features not present in the theory of ordinary differential equations. The book is divided into three parts. The first considers linear theory and the second deals with quasilinear equations and existence problems for nonlinear equations, giving some general asymptotic results. Part III is devoted to frequency domain methods in the study of nonlinear equations. The entire text analyses n-dimensional rather than scalar equations, giving greater generality and wider applicability and facilitating generalizations to infinite-dimensional spaces. The book is generally self-contained and assumes only a basic knowledge of analysis. The many exercises illustrate the development of the theory and its applications, making this book accessible to researchers in all areas of integral and differential equations |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212 MiAaHDL |
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digitized 2012 HathiTrust Digital Library committed to preserve pda MiAaHDL |
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Print version record |
| Subject |
Volterra equations.
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Integral equations.
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Functional equations.
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Functional equations
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Integral equations
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Volterra equations
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Volterra-Gleichungen
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Volterra-Integralgleichung
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Funktional-Differentialgleichung
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Integraalvergelijkingen.
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Functionaalvergelijkingen.
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Volterra-integraalvergelijkingen.
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Volterra, équations de.
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Equations intégrales.
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Equations de fonctions.
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| Form |
Electronic book
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| Author |
Londen, Stig-Olof
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Staffans, Olof J., 1947-
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| ISBN |
9780511662805 |
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0511662807 |
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9781107088054 |
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1107088054 |
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