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| Zauderer E. — Partial Differential Equations of Applied Mathematics |
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| Предметный указатель |
Rayleigh — Ritz method 536 545
Rayleigh — Ritz method approximate eigenfunction 539
Rayleigh — Ritz method approximate eigenvalue 538
Reduced equation 662 672 825
Reduced equation system 811 814 818 829
Reduced part 810
Reduced problem 619 649 662 814
Reduced wave equation 106 382 481 496 617 700 703 721 731 738 746 798;
Reduced wave equation, nonlinear 754
Reduced wave equation, nonuniqueness of solutions 236
Reflected wave 334 357
Reflection, boundary 740 834
Reflection, region 740
Refraction shadow 709
Renormalization 627 631
Resonance 212 239
Retarded potential 275
Riccati equation 224
Riemann function 553 555
Riemann invariants 136 158 612
Riemann — Lebesgue lemma 248 297 308
Riemann's method 362 549
Rodrigues' formula 231
Scattered wave 706 722 738 746
Scattering problem 721 722 738 746
Schroedinger's equation 124 510 728 741
Schroedinger's equation, nonlinear 770
Schwartz, L. 426
Secular behavior 627 662 727 761
Secular terms 627 631 633 646 658 819 830
Self-adjoint operator 147 149 172 424
Self-adjoint operator, formal 147
Self-focusing 755
Self-trapping 757 769
Separation of variables 168 193 244 566 569
Shadow boundary 740 751
Shadow region 740 749
Shallow water 158 829
Shock conditions 76
Shock conditions, Rankine — Hugoniot 611
Shock speed 828
Shock structure 826
Shock velocity 76
Shock wave 67 76 583 826
Shock wave, N wave 79
Shock wave, stationary wave 104 105
Shock wave, triangular wave 78
Signaling problem 97 355 619 684
Similarity solution 407
Simple wave 583 823
Single layer distribution 364 502
Singular point 58
Singular solution 90 372 379
Singularities, propagation of 778 798
Sirovich's method 304
Sirovich, L. 295 303
Snell's laws 108 399
Solitary wave 830
Sommerfeld, A. 745
Sound wave 580 582
Space-like curve 360 369
Spectrum see “Eigenvalues”
Speed of wave propagation 26 277 298 358 370 580 582 644
Spherical harmonics 541 601
Spherical wave 314 373 382 701 718 782
Square integrable function 179 183
Stability index 142 564
Stability theory, boundary value problem 219 221 544
Stability theory, Cauchy problem 143 160 220 222 653 658
Stability theory, linear 143 219 221 658 681
Stability theory, nonlinear 218 222
Standing wave 196 292
Stationary inhomogeneities 215
Stationary point 295
Stefan Problem 406
Stochastic calculus, Ito 26
Stochastic calculus, Stratonovich 26
Stochastic differential equation 15 26
Stokes' rule 258 272 274
Stokes, G.G. 644
| Stratified medium 708
Stretching transformation 650 654 659 664 670 675 686 727 731 741
Strip condition 84
Sturm — Liouville problem 172 178 535 545 546
Sturm — Liouville problem, regular 178
Sturm — Liouville problem, singular 178 190 192
Substitution property 430
Superposition of solutions 176 245
Symmetry of Green's function 448 451 459 465 497
Systems of equations, linear first order 20 127 579 810
Systems of equations, nonlinear second order 583 817
Systems of equations, nonlinear third order 828
Systems of equations, quasilinear first order 134 585
Taylor, G.I. 15
Telegrapher's equation 20 25 145 225 301 388 562 589 785 792 797; damped”
Telegrapher's equation, modified 477 479
Test function 426
Test function of rapid decay 438
Threshold of instability 222
Time-like curve 360 368 785
Totally hyperbolic 128
Transmitted wave 334
Transport equation 703 704 714 754 783 785 798
traveling wave 196 381 643 645 785 820 821 826 830;
Traveling wave, periodic 644 832
Tricomi's equation 151
Trigonometric eigenfimctions 184
Type of equation, elliptic 111 114 123
Type of equation, hyperbolic 110 111 123
Type of equation, mixed 114 123
Type of equation, parabolic 111 113 123
Type of equation, ultrahyperbolic 123
Type of system, elliptic 129 135
Type of system, hyperbolic 130 135
Type of system, parabolic 130 135
Type of system, totally hyperbolic 128
Uhlenbeck, G.E. 14 18
Uniform convergence 183 195 229 348
Uniqueness of solutions 64 393 395 396 410 559 561
Variance continuous case 9 21
Variance discrete case 3 16
Variational Principle 517
Variational problem 524 529;
vibrating beam see “Vibrating rod”
Vibrating membrane 166 237
Vibrating membrane steady state 200
Vibrating plate 569
Vibrating plate, circular 570
Vibrating plate, clamped 569
Vibrating plate, simply supported 609
Vibrating rod, clamped 566
Vibrating rod, composite 332
Vibrating rod, free 608
Vibrating rod, laterally 563
Vibrating rod, longitudinally 328
Vibrating rod, simply supported 608
Vibrating string 54 166 193
Vibrating string, loaded 366
Vibrating string, nonlinear 839
Water waves 828
Watson's lemma 293
Wave breaking 67 828
Wave equation 23 47 120 130 193 203 255 272 284 291 341 345 349 353 355 361 368 372 384 440 470 555 580 589 632 705 799 829;
Wave equation, damped 21 47 145 498 808
Wave equation, nonlinear 87
Wave equation, unidirectional, linear 23 24 51
Wave equation, unidirectional, nonlinear 65 102 581 645 825
Wave form 52 66
Wave front 277 373 377 707 714 718 779 784
Wave motion, unidirectional, linear 23 51 53
Wave motion, unidirectional, nonlinear 65 69 583
wave number 106 644
Wave optics 703
Wave packet 298
waveguide 614
Weak convergence 348 427 439
Weak solution 342 347 376;
Well posed problem 137 141 142 160
Whitham, G.B. 644
WKB method 833
Young's modulus 166 328 332
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