A Course of Higher Mathematics: Integral equations and partial differential equationsPergamon Press; [U.S.A. ed. distributed by Addison-Wesley Publishing Company, Reading, Mass., 1964 |
Índice
sification of integral equations 3 Orthogonal systems of func | 13 |
Unbounded kernels 18 Integral equations with unbounded kernels | 19 |
iterated kernels 21 Symmetric kernels 22 Expansion in eigen | 25 |
Direitos de autor | |
11 outras secções não apresentadas
Outras edições - Ver tudo
A Course of Higher Mathematics: Integral equations and partial differential ... Vladimir Ivanovich Smirnov Visualização de excertos - 1964 |
A Course of Higher Mathematics: Integral equations and partial differential ... Vladimir Ivanovich Smirnov Visualização de excertos - 1964 |
The Course of Higher Mathematics: Integral equations and partial ... Vladimir Ivanovich Smirnov Visualização de excertos - 1964 |
Palavras e frases frequentes
a₁ arbitrary constants assume B₁ boundary conditions boundary value problem bounded C₁ closed domain coefficients continuous derivatives continuous function contour corresponding curve D₁ defined differential equation Dirichlet problem dx dy eigenfunctions eigenvalues Euler's equation expression extremum fact follows at once formula Fourier Fourier series given Green's formula Green's function harmonic function Hence homogeneous equation independent variables inequality initial conditions initial data inside integral equation integral surface interval kernel Laplace's equation left-hand side lemma linear N₁ non-zero obtain order derivatives order equation orthogonal P₁ P₂ parameter partial derivatives plane positive number proved required function right-hand side second order solution of equation substituting Suppose t₁ theorem transformation u₁ uniformly convergent vanishes whence it follows whilst write x₁ y₁ ди дп მთ მყ