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Friedrichs K. — Advanced ordinary differential equations
Friedrichs K. — Advanced ordinary differential equations



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Название: Advanced ordinary differential equations

Автор: Friedrichs K.

Аннотация:

A large number of mathematical books begin as lecture notes; but. since mathematicians are busy, and since the labor required to bring lecture notes up to the level of perfection which authors and the public demand of formally published books is very considerable, it follows that an even larger number of lecture notes make the transition to book form only after great delay or not at all. The present lecture note series aims to till the resulting gap. It will consist of reprinted lecture notes, edited at least to a satisfactory level of completeness and intelligibility, though not necessarily to the perfection which is expected of a book. In addition to lecture notes, the series will include volumes of collected reprints of journal articles as current developments indicate, and mixed volumes including both notes and reprints.


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1965

Количество страниц: 205

Добавлена в каталог: 06.12.2009

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Affine transformation      43
Asymptotic behavior      185
Asymptotic expansion      176 178 188 199
Bendixson      55
Bessel functions      138
Bifurcation problem      87
Birkhoff      192
Brillouin      192
Characteristic equation      38 44
Characteristic values      38
circuits      121 124 199
Closed Integral Curves      54
col      40
Degenerate problem      76 82 102
Direction field      5
Domain of Existence      26
Dominant Solutions      179 182
Eigen-equation      140
Eigen-exponent      105 137
Eigen-solution      105
Eigen-solutions of a DE with a Regular Singularity      136
Equation with Constant Coefficients      110
Equations with Periodic Coefficients      103 126
Fuchs Type      147 148
Hankel functions      186
Hill equation      108
Hypergeometric functions      150 156
Index of a curve      59
Infinitesimal transformation      12
Initial condition      21
Initial values      21
Integral Operation      17
Integrating factor      2
Invariance      13
Invariant      4 5
iterations      19
Linear DE      38
Linear equations      33
Lipschitz-condition      18 21
Mathieu equation      109
Modified Implicit Function Theorem      96
Multiplier      2
Neumann function      185
Nodal point      Fig. 1.1 39 Fig. 41 Fig. 42
Non-homogeneous equation      142
Periodic coefficients      126
Periodic solutions      28 63
Picard, E.      25
Poincare      55
Pseudo-regular DE      160 162
Pseudo-regular Solutions      163 167 175
Quasi-regular      186
Recessive Solutions      179 182
Regular singularities      132
Saddle point      Fig. 2 3 4 40 41
Singular point(s)      37 45 50 58
Singular Singularities      160
Spiral point      Fig. 5 43
Stability problem      115
Stokes phenomenon      179 180 185
Systems of equations      30
Tamarkin      192
Variational equation      67
Vortex point      43
Wentzel      192
wronskian      106 120
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