Agarwal R.P. — Difference Equations and Inequalities. Theory, Methods and Applications. :: Электронная библиотека попечительского совета мехмата МГУ

Главная Ex Libris Книги Журналы Статьи Серии Каталог Wanted Загрузка ХудЛит Справка Поиск по индексам Поиск Форум

Авторизация

Поиск по указателям

Agarwal R.P. — Difference Equations and Inequalities. Theory, Methods and Applications.

Обсудите книгу на научном форуме

Нашли опечатку?
Выделите ее мышкой и нажмите Ctrl+Enter

Название: Difference Equations and Inequalities. Theory, Methods and Applications.

Автор: Agarwal R.P.

Язык:

Рубрика: Математика/Анализ/Продвинутый анализ/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Издание: Second Edition, Revised and Expanded

Год издания: 2000

Количество страниц: 971

Добавлена в каталог: 29.10.2004

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

Предметный указатель

left focal boundary conditions      839
right disfocal      752
$p_{j^-}$ disconjugate      748
stable      251
(2, 2) disconjugate      780
(j, n-j) disconjugate      749
(m, m) disconjugate      781
(n, p) boundary conditions      13 761 770 773 777 798 828
(n-1, 1) disconjugate      780
(p, n) boundary conditions      13 762 770 773 777 799
(p, n-p) boundary conditions      759 766 767 772 824
Abel — Gontscharoff boundary conditions      13 760
Abel's formula      102
Abel's transformation      35
Absorbing interval      458
Adjoint equation(s)      78 750
Adjoint identities      62
Adjoint system      60
Admissible function      781
Admissible variation      781
Airy equation(s)      94
Algorithm      8
Almost periodic      72
Antidifference      35
Antiperiodic function      102
Antisymmetric boundary conditions      853
Approximate Newton's method      719
Approximate Picard's method      691 806
Approximate quasilinear scheme      814
Approximate solution      685 803
Asymptotically stable      250 325
Attractive solution      250
Backward process      635
Backward sweep      668
Backward sweep-forward process      668
Backward-backward process      636
Backward-forward process      645
Basic matrix      146
Basically-periodic solutions      144
Bernoulli equation(s)      125 126
Bernoulli numbers      37
Bernoulli's method      85
Best discretization      128
boundary conditions      11
Boundary layer      95
Boundary value problem      11
Bounded solution      238 240
C-right disfocal      785
Casoration matrix      54 75
Cayley — Hamilton theorem      51
Characteristic exponent      144
Chebyshev polynomials      10
Clairaut equation(s)      117
Clairaut extended form equation(s)      175
Cobweb model      319
Compound interest      170
Condition number      260
Cone      496 870
Conjugate boundary conditions      757 764 765 772 775 795
Contraction mapping theorem      683
Convolution      82 930
Convolution type equation(s)      323
Critical point      254
Cubic spline      17
D-Descartes system      753
D-Descartes system with respect to $\{ r_q \}_{q=1}^m$       754
D-Fekete system      753
D-Fekete system with respect to $\{ r_q \}_{q=1}^m$       754
D-lower periodic solution      708
D-Markov system      753
D-quasimonotonicity      708
D-upper periodic solution      708
Decrescent function      289
Delay-difference equation(s)      296
Dependence on initial conditions      234
Diffusion equation(s)      179
Disconjugate      745
Dominant solution      342 368
During equation(s)      130
Euler equation(s)      118
Euler numbers      37
Euler — Lagrange equation      783 784
Euler — Lagrange operator      782
Eventually disconjugate      754
eventually right disfocal      754
Exact equation(s)      78
Exponential dichotomy      272
Exponentially asymptotically stable      251
Extended Cobweb model      319
Fibonacci numbers      38
First order approximation      237
First variation      781 786
FitzHugh — Nagumo equation(s)      159
Fixed point      254
Floquet's theorem      71
Forward process      635
Forward sweep      668
Forward sweep-backward method      668
Forward-backward process      645
Forward-forward process      636
Fourier coefficients      10 857
Fourier cosine series      858
Fourier series      857
Fourier sine series      857
Fundamental matrix      56
Gambler's ruin      42
Gamma function      39
Generalized norm      682
Generalized zero      398 751 779 780
Generating function      81
Ghost solution      127
Globally asymptotically stable      251 512
Globally attractive      251
Golden ratio      38
Green's formula      79
Green's function      77 763-774 788 789 874
Green's matrix      59 631 633 675
Gronwall inequality      184 905
Hardy — Weinberg law      22
Harmonic oscillator equation(s)      129
Harrod — Domar growth model      319
Hermite boundary conditions      12 759
Hill equation(s)      142
Holt's problem      641
Horner's method      8
Hurwitz matrix      239
Hurwitz theorem      239
Imbedding methods      259
Implicit separated boundary conditions      12
Index of stability      259
Initial value problem      6
Inner solution      96
Invariant      455
Invariant set      286
Isolated solution      687
Jacobi elliptic functions      130
Jacobi equation(s)      783 784
Kantorovich's theorem      683
Knaster — Tarski fixed point theorem      496
Kneser's theorem      31
Korteweg — de Vries equation(s)      160
Krasnosel'skii fixed point theorm      874
l'Hospital's rule      29 30
Lagrange equation(s)      162
Lagrange's identity      79 750
Lagrange's method      154
Laplace's method      156
Laurant transformation      81
Left (j, n-j) disconjugate      746
Left (n-j, j) disconjugate      751

Legender's necessary condition      783
Leibnitz' formula      44
Levinson's perturbation lemma      313
Lidstone boundary conditions      13 770 771 774 777 799
Limit-circle      444
Limit-point      254 444
Linearly dependent      54
Linearly independent      54
Local extremum      781
Local maximum      781
Logistic law of growth      127 317
Logistics equation(s)      127
Lyapunov's direct method      281
Lyapunov's function      283 292
Lyapunov's inequality      890
Lyness equation(s)      455
m-cycle      316
m-periodic      316
Markov chains      57
Mathieu equation(s)      147
Maximal solution      738
Maximum principle      774
Mean value theorem      27
Method of undetermined coefficients      107
Miller's algorithm      672
Minimal solution      671
Mixed equation(s)      572
Mixed monotone property      205
Modified Korteweg — de Vries equation(s)      161
Modified RQ forward process      660
Modified ST forward process      662
Montmort's theorem      36
Multiplier      78
Mutually asymptotically stable      307
Mutually attractive      307
Mutually stable      307
Negative definite      282 289
Negative semidefinite      282
Neutral equation(s)      485
Newton's method      10 714
Niccoletti boundary conditions      12
Nicholson blowflies equation(s)      463
Node      26
Nomeroy's method      17
Nonoscillatory equation      335 485
Nonoscillatory solution      335 437 485
Olver's algorithm      672
Olver's comparison result      362
Operational method      109
Opial type inequalities      209 867 933
Orbit      286
Ordinary dichotomy      272
Oscillatory equation      335 485
Oscillatory solution      335 437 485
Osculatory boundary conditions      758 765 772 776 797
Outer solution      96
Partially ordered      496
Periodic boundary conditions      12 854
Periodic function      69
Periodic of the second kind      102
Periodic orbit      316
Periodic payment of annuities      170
Periodic payment to pay off a loan      171
Permanent      458
Perron's theorem      90
Perturbed problem      700
Phantom solution      127
Picard's iterative sequence      685 804
Pielou logistic equation(s)      125 462
Poincare's theorem      87 111 314 315
Point of equilibrium      254
Polya's factorization      745
Population model      293—296
Positive definite      282 289
Positive limit set      286
Positive semidefinite      282
Practically stable      306
Principal fundamental matrix      56
Projection      265
Proper local minimum      781
Putzer's algorithm      66 67
Quasi-difference operators      750 755
Quasilinear equation(s)      468
Quasilinear iterative scheme      809
Queuing theory      24
r-disconjugate      745
Rayleigh's inequality      890
Reaction-advection equation(s)      179
Recessive solution      342 368
Recursive relation      5
Region of asymptotic stability      286
Region of attraction      286
Regular perturbation      91
Repeated RQ forward process      661
Repeated RQ ST forward process      662
Repeated ST forward process      662
Reproducing cone      870
Rest point      254
Restrictively stable      257
Riccati equation(s)      120 349 784
Riccati extended form equation(s)      156
Riccati type transformation      349 355
Ried's roundabout theorem      784
Riemann's function      904
Right (j, n-j) disconjugate      746
Right (n-j, j) disconjugate      751
Right disfocal      752
Right focal point boundary conditions      760 767 776
Rolle's theorem      26
RQ backward process      662
RQ forward process      660
Samuelson's interaction model      317
Schauder's fixed point theorem      682
Secant method      452
Second variation      781 786
Semi-asymptotically stable      317
Semisimple      238
Semistable      317
Separated boundary conditions      12
Separation of variables method      155
Singular perturbation      95 676
Singular point      254
Spurious solution      127
ST forward process      661
Stable      250
Stable for u(k) (at l)      259
Stationary point      254
Stirling numbers      38
Stock recruitment model      297 298
Strongly stable      251
Sturm — Liouville problem      845
Sturm's comparison result      365
Sturm's comparison theorem      784 785
Sublinear      875
Superlinear      875
Superposition principle      49
Symbolic method      153
Symmetric boundary conditions      852
Taylor's formula      28 43 914
Toeplitz lemma      682
Totally stable      304
Traffic in channels      24
Transpose equation(s)      79
Transversality condition      782
Two point boundary conditions      769
Two point focal type boundary conditions      769
Two point right focal boundary conditions      761 768 773 777 797
Two point Taylor boundary conditions      758 766 772 776 797
Uniformly asymptotically stable      250
Uniformly attractive      250

1 2

О проекте