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Applications of functional analysis and operator theory par Hutson, V. Publication : Amsterdam ; Boston Elsevier Science 2005 . 426 p. , Functional analysis is a powerful tool when applied to mathematical problems arising from physical situations. The present book provides, by careful selection of material, a collection of concepts and techniques essential for the modern practitioner. Emphasis is placed on the solution of equations (including nonlinear and partial differential equations). The assumed background is limited to elementary real variable theory and finite-dimensional vector spaces. Key Features - Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering. - Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results. - Introduces each new topic with a clear, concise explanation. - Includes numerous examples linking fundamental principles with applications. - Solidifies the reader's understanding with numerous end-of-chapter problems.Provides an ideal transition between introductory math courses and advanced graduate study in applied mathematics, the physical sciences, or engineering.Gives the reader a keen understanding of applied functional analysis, building progressively from simple background material to the deepest and most significant results.Introduces each new topic with a clear, concise explanation. Includes numerous examples linking fundamental principles with applications.Solidifies the reader's understanding with numerous end-of-chapter 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Volterra integral and differentialequations par Burton, Ted A. Publication : [S.l.] Elsevier Science 2005 . 353 p. , Most mathematicians, engineers, and many other scientists are well-acquainted with theory and application of ordinary differential equations. This book seeks to present Volterra integral and functional differential equations in that same framwork, allowing the readers to parlay their knowledge of ordinary differential equations into theory and application of the more general problems. Thus, the presentation starts slowly with very familiar concepts and shows how these are generalized in a natural way to problems involving a memory. Liapunov's direct method is gently introduced and applied to many particular examples in ordinary differential equations, Volterra integro-differential equations, and functional differential equations. By Chapter 7 the momentum has built until we are looking at problems on the frontier. Chapter 7 is entirely new, dealing with fundamental problems of the resolvent, Floquet theory, and total stability. Chapter 8 presents a solid foundation for the theory of functional differential equations. Many recent results on stability and periodic solutions of functional differential equations are given and unsolved problems are stated. Key Features: - Smooth transition from ordinary differential equations to integral and functional differential equations. - Unification of the theories, methods, and applications of ordinary and functional differential equations. - Large collection of examples of Liapunov functions. - Description of the history of stability theory leading up to unsolved problems. - Applications of the resolvent to stability and periodic problems. 1. Smooth transition from ordinary differential equations to integral and functional differential equations. 2. Unification of the theories, methods, and applications of ordinary and functional differential equations. 3. Large collection of examples of Liapunov functions. 4. Description of the history of stability theory leading up to unsolved problems. 5. Applications of the resolvent to stability and periodic problems. 24 cm. Date : 2005 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Alternative mathematical theory of non-equilibrium phenomena / par Straub, Dieter, Publication : . 1 online resource (xiv, 377 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780126730159,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=196,

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Inequalities for differential and integral equations / par Pachpatte, B. G. Publication : . 1 online resource (x, 611 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780125434300,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=197,

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Non-standard and improperly posed problems / par Ames, Karen A. Publication : . 1 online resource (ix, 303 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780120567454,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=194,

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Lyapunov matrix equation in system stability and control / par Gajić, Zoran. Publication : . 1 online resource (xii, 255 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780122733703,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=195,

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Functional equations in applied sciences / par Castillo, Enrique, Publication : . 1 online resource (xiii, 391 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517883,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=199,

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Applications of functional analysis and operator theory. par Hutson, V. Publication : . 1 online resource (xiv, 426 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517906,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=200,

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A mathematical treatment of economic cooperation and competition among nations : with Nigeria, USA, UK, China and Middle East examples / par Chukwu, Ethelbert N. Publication : . 1 online resource (xvii, 337 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444518590,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=203,

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Discrete dynamical systems, bifurcations and chaos in economics / par Zhang, Wei-Bin, Publication : . 1 online resource (ix, 448 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444521972,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=204,

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Two-point boundary value problems : lower and upper solutions / par De Coster, Colette. Publication : . 1 online resource (x, 489 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780444522009,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=205,

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Mathematical models of the cell and cell associated objects / par Ivanov, Viktor Vladimirovich, Publication : . 1 online resource (xix, 333 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444527141,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=206,

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Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications / par Podlubny, Igor. Publication : . 1 online resource (xxiv, 340 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780125588409,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=198,

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Computational error and complexity in science and engineering / par Lakshmikantham, V., Publication : . 1 online resource (ix, 248 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444518606,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=201,

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Information-theoretic methods for estimating complicated probability distributions / par Zong, Zhi. Publication : . 1 online resource (xvii, 299 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444527967,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=207,

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Stability of nonlinear control systems / par Lefschetz, Solomon, Publication : . 1 online resource (xi, 150 pages). Disponibilité :  http://www.sciencedirect.com/science/book/9780124403505,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=13,

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An introduction to applied optimal control / par Knowles, Greg. Publication : . 1 online resource (x, 180 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124169609,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=159,

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Transversal theory : an account of some aspects of combinatorial mathematics / par Mirsky, L. Publication : . 1 online resource (ix, 255 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780124985506,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=75,

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