Электронная библиотека Попечительского совета механико-математического факультета Московского государственного университета   Главная    Ex Libris    Книги    Журналы    Статьи    Серии    Каталог    Wanted    Загрузка    ХудЛит    Справка    Поиск по индексам    Поиск    Форум    Авторизация         Поиск по указателям Vladimirov V. S. — Equations of mathematical physics Обсудите книгу на научном форуме Нашли опечатку? Выделите ее мышкой и нажмите Ctrl+Enter Название: Equations of mathematical physics Автор: Vladimirov V. S. Язык: Рубрика: Математика/ Статус предметного указателя: Готов указатель с номерами страниц ed2k: ed2k stats Год издания: 1971 Количество страниц: 426 Добавлена в каталог: 16.11.2010 Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID Предметный указатель Arzela's lemma      233 Associated Legendre functions      339 Bessel's inequality      17 Bilinear expansion of an Hermitian continuous kernel      242 Bilinear expansion of iterated kernels      241 Bilinear form      25 Bolzano — Weierstrass theorem      2 Boundary value problem      53 Boundary value problem for equations of elliptic type      56 Cauchy principle of convergence      2 Cauchy — Buniakowski inequality      12 Cauchy's problem      53 Cauchy's theorem      5 Characteristic cone      43 Characteristic equation      43 Characteristic function of a set      2 Characteristic numbers of a kernel      202 Characteristic surface      43 Closure equation      17 Closure of a set      2 Compactum      2 Complete system of functions      17 Continuation of a linear functional      21 Continuity, equation of      35 Convolution of generalized functions      102 104 105 Convolution of generalized functions of slow growth      121 d'Alembert's formula      176 Derivative of a generalized function      80 Derivative, correct normal      281 Descent, method of      144 Differential equations of characteristics      47 Diffusion equation      30 Diffusion of heat in a bounded rod      382 Dini's lemma      5 Dirac -function      64 Dirac's equation      38 Direct product of generalized functions      96 Direct product of generalized functions of slow growth      96 Dirichlet, external problem      307 Dirichlet, internal problem      307 Distributions      75 Du Bois Reymond's Lemma      72 Eigenfunctions of a kernel      202 Eigenfunctions of an operator      24 Eigenvalues of a kernel      202 Eigenvalues of an operator      24 Elliptic equation      380 Elliptic type, equation of      40 49 Energy integral      259 Euler's equation of motion      35 Fourier coefficients      16 Fourier method      263 373 Fourier series      16 Fourier transform of convolution      129 Fourier transform of functions belonging to       121 Fourier transform of generalized functions belonging to       123 Fredholm integral equations      201 Fredholm integral equations, adjoint      201 Fredholm integral equations, homogeneous      201 Fredholm theorems      225—227 229 233 Fredholm's alternative      225 Fubini's theorem      11 Function with compact support      4 Functional, linear      21 Fundamental solution      141 147 Fundamental solution of the Cauchy — Riemann operator      154 Fundamental solution of the heat conduction operator      148 Fundamental solution of the Helmholtz operator      153 Fundamental solution of the Laplace operator      151 Fundamental solution of the transport operator      154 Fundamental solution of the wave operator      149 Generalized Cauchy problem for heat conduction equation      197 Generalized Cauchy problem for wave equation      172 Generalized function      69 Generalized function of slow growth      116 Generalized function, regular      72 Generalized function, singular      72 Generalized harmonic function      287 Generalized solution of linear differential equation      140 Generating function for Legendre polynomials      337 Green's first formula      256 Green's formula      279 Green's function of a boundary value problem      274 Green's function of a Dirichlet problem      318 358 Green's function of an operator      273 Green's function, construction      322 Green's second formula      257 Hadamard's example      60 Harmonic function      278 Heat conduction equation      31 44 Heine — Borel lemma      3 Helmholtz equation      33 362 Helmholtz equation, homogeneous      363 Hilbert — Schmidt theorem      237 240 247 249 Hoelder continuous function      5 Huygens principle      179 Hydrodynamics, equations of      35 Hyperbolic homogeneous equation      374 Hyperbolic inhomogeneous equation      376 Hyperbolic type equations      40 46 Influence, function of      141 Integral equation      201 Integral equation with degenerate kernel      217 Integral equation with Hermitian kernel      202 Integral equation with polar kernel      211 Integral equation, Fredholm      201 Integral equation, Volterra      209 Interior point of a set      2 Iterates of a function      204 Jentsch's theorem      249 Kellogg's method      251 Kelvin's transformation      309 Kernel      21 Kernel of integral equation      201 Kernel of positive type      246 kernel, continuous      202 Kernel, degenerate      217 kernel, hermitian      231 Kernel, polar      211 Kernel, Volterra      209 Kernel, weakly polar      211 Kernels, Hermitian adjoint      202 Kernels, iterated      206 Kernels, symmetric      249 Kirchhoff's formula      176 Klein — Gordon equation      38 Kowalewski's theorem      59 Laplace equation      33 Laplace's formula      343 Lebesgue integrable function      5 6 Lebesgue integral      5 6 Lebesgue theorem      8 Legendre polynomials      335 Liapunov surface      297 Linear normed space      4 Lipschitz continuous function      5 Maximum principle      283 285 405 Maxwell's equations      36 Mean value theorem      283 Measurable function      6 Minimum principle      406 Mixed problem      54 57 Mixed type, equation of      41 Multiplicity of an eigenvalue      24 Neumann series      204 Neumann, external problem      307 Neumann, internal problem      307 Normalized function      15 Normally hyperbolic type equation      40 Normally parabolic type equation      40 Operator, bounded from to       20 Operator, Cauchy — Riemann      94 Operator, continuous from to       20 Operator, differential, or order m      22 Operator, Hermitian (Lagrange self-adjoint)      25 Operator, integral      21 Operator, integrodi\taufferential      22 Operator, Laplace       30 Operator, linear      20 Operator, positive      26 Operator, wave (D'Alembert )      30 Orthogonal functions      15 Orthonormal system of functions      15 Parabolic type equations      40 49 378 Parseval's equality      17 Poisson's equation      33 44 Poisson's formula      186 325 326 Potential, double layer      111 293 302 303 Potential, heat with density f      194 Potential, logarithmic      110 350 Potential, Newtonian      110 291 Potential, Newtonian, physical sense      296 Potential, retarded      163 Potential, Robin's      316 Potential, Robin's, physical sense      317 Potential, simple layer      111 293 300 304 Potential, surface retarded      167 Potentials      365 Principle of amplitude      369 Principle of limiting absorption      368 Propagation of waves      178 Property fulfilled almost everywhere      5 Quadratic form      25 Reflections, finite string      191 Reflections, method of      322 Reflections, semi-infinite string      198 Region      3 Regularization of generalized functions      108 Resolvent      207 Riesz — Fischer theorem      14 Schmidt's formula      244 Schmidt's orthogonalization process      16 Schrodinger's Equation      37 379 Schwartz's Theorem      115 Sequence in itself      2 Sequence of functions, converging in the mean      13 Sequence, converging      2 Set of functions continuous in       13 Set of measure zero      6 Set, bounded      2 Set, closed      2 Set, connected      2 Set, equicontinuous functions      5 Set, measurable      6 Set, open      2 Small longitudinal vibrations of a rod      29 Small transverse vibrations of a membrane      30 Small transverse vibrations of a string      29 Sokhotski's formula      75 Sommerfeld radiation conditions      362 Space, ,       3 Space,       3 Space,       3 Space,       66 Space,       69 Space,       4 Space,       113 Space,       114 Space,       12 Space, C(T), T closed      4 Spherical function      333 345 State, equation of      35 Steklov's theorem      277 Sturm — Liouville problem      270 Sufficiently-smooth surface      310 Summable function      6 8 Superposition of waves, principle of      179 Support of a generalized function      70 Support of a piecewise continuous function      4 Telegrapher's equation      36 Test functions      63 65 113 Transformation, Fourier, of convolution      129 Transformation, Fourier, of the function belonging to       121 Transformation, Fourier, of the generalized function belonging to       123 Transport equation      33 Tricomi's equation      41 51 Types of equations      40 Vibration equations      27 Vibration of a fixed membrane      383 Vibration of a spherical volume      384 Vibration of a string      381 Wave equation      29 Weak convergence      70 Weierstrass theorem      5 Реклама        © Электронная библиотека попечительского совета мехмата МГУ, 2004-2024 | | О проекте