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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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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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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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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 methods in engineering boundary value problems / par Na, T. Y. Publication : . 1 online resource (x, 309 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780125126502,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=145,

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Theory of partial differential equations / par Lieberstein, H. Melvin. Publication : . 1 online resource (xiv, 283 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124495500,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=93,

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Introduction to the theory and application of differential equations with deviating arguments / par Ėlʹsgolʹt︠s︡, L. Ė. Publication : . 1 online resource (xiv, 357 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780122377501,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=105,

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Maximum principles and their applications / par Sperb, René Peter, Publication : . 1 online resource (ix, 224 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780126568806,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=157,

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Differential equations : classical to controlled / par Lukes, Dahlard L. Publication : . 1 online resource (xiii, 322 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124599802,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=162,

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Stochastic systems / par Adomian, G. Publication : . 1 online resource (xvii, 331 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780120443703,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=169,

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Differential equations in abstract spaces / par Ladas, G. E. Publication : . 1 online resource (xi, 218 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780124326507,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=85,

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First order elliptic systems : a function theoretic approach / par Gilbert, Robert P., Publication : . 1 online resource (xi, 281 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780122832802,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=163,

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Volterra integral and differential equations / par Burton, T. A. Publication : . 1 online resource (x, 313 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780121473808,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=167,

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Nonlinear boundary value problems in science and engineering / par Rogers, C. Publication : . 1 online resource (417 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780125931106,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=183,

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Differential-difference equations / par Bellman, Richard, Publication : . 1 online resource (xvi, 462 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780120848508,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=6,

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Discrete and continuous boundary problems / par Atkinson, F. V. Publication : . 1 online resource (xiv, 570 pages) Disponibilité :  http://www.sciencedirect.com/science/book/9780120658503,  http://www.sciencedirect.com/science/publication?issn=00765392&volume=8,

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