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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - At the beginning of this century Emil Picard wrote: 'Les equations differentielles de la mecanique classique sont telles qu 'il en resulte que le mouvement est determine par la simple connaissance des positions et des vitesses, c 'est-a-dire par l 'etat a un instant donne et a ['instant infiniment voison. Les etats anterieurs n'y intervenant pas, l'heredite y est un vain mot. L 'application de ces equations ou le passe ne se distingue pas de l 'avenir, ou les mouvements sont de nature reversible, sont done inapplicables aux etres vivants'. 'Nous pouvons rever d'equations fonctionnelles plus compliquees que les equations classiques parce qu 'elles renfermeront en outre des integrates prises entre un temps passe tres eloigne et le temps actuel, qui apporteront la part de l'heredite'. (See 'La mathematique dans ses rapports avec la physique, Actes du rv congres international des Mathematiciens, Rome, 1908. ) Many years have passed since this publication. These years have seen substantial progress in many aspects of Functional Differential Equations (FDEs ). A distinguishing feature of the FDEs under consideration is that the evolution rate of the proc{lsses described by such equations depends on the past history. The discipline of FDEs has grown tremendously, and publication of literature has increased perhaps twofold over publication in the previous decade. Several new scientific journals have been introduced to absorb this increased productivity. These journals reflect the broadening interests of scientists, with ever greater attention being paid to applications.…

Taschenbuch. Zustand: Neu. Low-Gravity Fluid Mechanics | Mathematical Theory of Capillary Phenomena | A. D. Myshkis (u. a.) | Taschenbuch | xx | Englisch | 2011 | Springer | EAN 9783642709661 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - I. Modelling by Functional Differential Equations.- 1. Theoretical preliminaries.- 2. Models.- II. Theoretical Background of Functional Differential Equations.- 3. General theory.- III. Stability.- 4. Stability of retarded differential equations.- 5. Stability of RDEs with autonomous linear part.- 6. Liapunov functionals for concrete FDEs.- 7. Riccati type stability conditions of some linear systems with delay.- 8. Stability of neutral type functional differential equations.- 9. Application of the direct Liapunov method.- 10. Stability of stochastic functional differential equations.- IV. Boundary Value Problems and Periodic Solutions of Differential Equations.- 11. Boundary value problems for functional differential equations.- 12. Fredholm alternative for periodic solutions of linear FDEs.- 13. Generalized periodic solutions of Functional Differential Equations.- V. Control and Estimation in Hereditary Systems.- 14. Problems of control for deterministic FDEs.- 15. Optimal control of stochastic delay systems.- 16. State estimates of stochastic systems with delay.…

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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 'E.t moi, . ' si j'avait su comment en revenir, One service mathematics has rendered the human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf nex t to the dusty canister labelled 'discarded non- The series is divergent; thererore we may be sense'. able to do something with it. Eric T. Bell O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics . .'; 'One service logic has rendered com puter science . .'; 'One service category theory has rendered mathematics . .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.…

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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 1. Models.- 1. Formal prerequisites.- 2. Aftereffect in mechanics.- 3. Hereditary phenomena in physics.- 4. Models with delays in technical problems.- 5. Aftereffect in biology.- 6. Aftereffect in medicine.- 7. Aftereffect in economy and other sciences.- 2. General theory.- 1. Introduction. Method of steps.- 2. Cauchy problem for RDEs.- 3. Cauchy problem for NDEs.- 4. Differential inclusions of retarded type (RDIs).- 5. General linear equations with aftereffect.- 6. Linear autonomous equations.- 7. Hopf bifurcation.- 8. Stocnastic retarded differential equations (SRDEs).- 3. Stability of retarded differential equations.- 1. Liapunov's direct method.- 2. Linear autonomous equations.- 4. Stability of neutral type functional differential equations.- 1. Direct Liapunov's method.- 2. Stability of linear autonomous equations.- 5. Stability of stochastic functional differential equations.- 1. Statement of the problem.- 2. Liapunov's direct method.- 3. Boundedness of moments of solutions.- 6. Problems of control for deterministic FDEs.- 1. The dynamic programming method for deterministic equations. Bellman's equation.- 2. Linear quadratic problems.- 3. Optimal control of bilinear hereditary systems.- 4. Control problems with phase constraint formula.- 5. Necessary optimality conditions.- 7. Optimal control of stochastic delay systems.- 1. Dynamic programming method for controlled stochastic hereditary processes.- 2. The linear quadratic problem.- 3. Approximate optimal control for systems with small parameters.- 4. Another approach to the problem of optimal synthesis control.- 8. State estimates of stochastic systems with delay.- 1. Filtering of Gaussian processes.- 2. Filtering of solutions of Itô equations with delay.…

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