|
|
 |
| Авторизация |
|
|
|
| Поиск по указателям |
|
|
|
|
|
|
|
 |
|
|
|
| Agarwal R.P. — Difference Equations and Inequalities. Theory, Methods and Applications. |
|
|
|
| Предметный указатель |
 left focal boundary conditions 839
 right disfocal 752
 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  754
D-Fekete system 753
D-Fekete system with respect to 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
|
|
|
| Реклама |
|
|
|
|
|
О проекте