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Introduction to the Theory and Applications of Functional Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1999)
Loot Price: R3,039
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Introduction to the Theory and Applications of Functional Differential Equations (Paperback, Softcover reprint of the original 1st ed. 1999)
Series: Mathematics and Its Applications, 463
Expected to ship within 10 - 15 working days
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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.
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