Adomian George — Nonlinear stochastic operator equations :: Электронная библиотека попечительского совета мехмата МГУ

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Adomian George — Nonlinear stochastic operator equations

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Название: Nonlinear stochastic operator equations

Автор: Adomian George

Аннотация:

This volume increases very substantially the scope of the work to cover very wide classes of equations. It is a simple and powerful method applicable to the solution of a multitude of problems in physics, engineering, operations research, system analisis, economics, biology, midicine, and other fields.

Язык:

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1986

Количество страниц: 287

Добавлена в каталог: 28.03.2010

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID

Предметный указатель

${A}_{n}$ polynomials      2 9 20 24 127
${A}_{n}$ polynomials, convenient computational forms      26
${A}_{n}$ polynomials, for composite nonlinearities      29
Anharmonic oscillator      67
Asymptotic decomposition for partial differential equations      139
Asymptotic solutions      72
boundary conditions      231
Boundary conditions, for partial differential equations      267
Closure approximation      117 129
Composite nonlinearities      187
Composite nonlinearities, involving radicals      194
Convergence      141 203 223 230
Convergence, for quadratic equations      150 154
Coupled boundary conditions      260
Coupled differential equations      88 93
Coupled nonlinear stochastic differential equations      258 283
Coupled stochastic differential equations      93
Cubic equations      155
Decimal power nonlinearities      57
Decimal powers      167
Decomposition method      1 10
Delay equations      98
Differential equations      34
Discretization      107 112 115
Eigenvalue equation      120
Exact linearization      19
Finite difference methods      111
General boundary operators      234
Green's function      11 38 40 42 278
Heat equations      135
Hierarchy methods      117
Hyperbolic sine nonlinearity      186
Inhomogeneous boundary conditions      232
Initial conditions      46
Integral operators      275
Integro-differential equations      275
Inverse Laplace transforms      277
Inversion, of matrices      197
Inversion, of random matrices      216
Inversion, of very large matrices      217
Ito equation      6
Laplace transform      277
Lebesgue integral      229
Linear boundary conditions      237
Linear partial differential equations      129
Linearization      19 107 112 115 284

Lipschitz condition      135 283
Markov process      135
Modelling      4 19
Negative power nonlinearities      54 163
Noninteger powers      165
Nonlinear      4
Nonlinear boundary conditions      249 252 254 269
Nonlinear delay equations      100
Nonlinear equations      35
Nonlinear functions      63
Nonlinear partial differential equations      131 282
Nonlinear stochastic operator equations      133
Nonlinear system      19
Operator equation      7 10
Partial differential equations      123
Perturbation      115 129 284
Picard method      283
Polynomial equations      158
Polynomial nonlinearities      47
Product nonlinearities      59
Products of nonlinear functions      181
Purely nonlinear equation      178
Quadratic equations      142 153
Radius of convergence      227
Random algebraic equations      169
Random boundar/ operators      235 245
Random eigenvalue equations      117
Random inhomogeneous boundary conditions      2.56
Riccati equation      51 91
Riemann — Stieltjes integral      135
Spectral spreading      10
Stability      87
Statistical independence      35
Statistical measuies      128
Statistical separability      2
Stochastic      4
Stochastic eigenvalue equations      117
Stochastic equation      19
Stochastic operator      115 117 134
Stochastic oscillators      71
Stochastic transport equations      135
Systems of matrix equations      214
Systems of nonlinear partial differential equations      279
Transcendental equations      170
White noise      6 0 117 128
Wiener process      6 135

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