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Jagerman D.L. — Difference equations with applications to queues
Jagerman D.L. — Difference equations with applications to queues



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Название: Difference equations with applications to queues

Автор: Jagerman D.L.

Аннотация:

Jagerman (mathematics, Rutgers U.) explains techniques that he has found particularly useful in solving the many practical problems that have been put to him over the years from such fields as engineering, communication, physics, information theory, and astronomy. He presents a theory of difference and functional equations with continuous argument based on a generalization of the Riemann integral introduced by N. E. Norlund, allowing differentiation with respect to the independent variable and permitting greater flexibility in constructing solutions and approximations. He solves the nonlinear first-order equation by a variety of methods, including an adaptation of the Lie-Grobner theory. He also looks at the linear equation with constant coefficients and linear difference equations with polynomial coefficients.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 2000

Количество страниц: 254

Добавлена в каталог: 04.06.2005

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Summation by parts      38
Summation of series      11
Summation of series from sum of function      37
Taylor's series      3
Time-homogeneous model      25
Trigonometric expansions      84
Trigonometric expansions $\psi$ function example      87
Trigonometric expansions coefficients for      85
Trigonometric expansions example of      86
Trigonometric expansions, removal of discontinuity      87
Trigonometric expansions, sum of exponential      86
U-operator solution      138
U-operator solution accuracy dependent on h      141
U-operator solution Hille's representation      140
U-operator solution infinitesimal generator      140
U-operator solution invariant function      141
U-operator solution modification for good accuracy      141
U-operator solution Newton's series expansion      139
U-operator solution reduction to Lie — Grobner operator      139
U-operator solution, relation to semigroups      140
Uniqueness theorem      92
Use of Laplace transform      184
Use of Laplace transform example      186
Use of Laplace transform principal solution      184
Volterra integral equation      65
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