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 | |
12 outras secções não apresentadas
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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 |
A Course of Higher Mathematics: Integral equations and partial differential ... Vladimir Ivanovich Smirnov Visualização de excertos - 1964 |
Palavras e frases frequentes
a₁ arbitrary constants assume boundary conditions bounded C₁ C₂ Cauchy problem Cauchy's closed domain coefficients continuous derivatives continuous function contour corresponding curve D₁ defined differential equation Dirichlet problem dx dy eigenfunctions eigenvalues Euler's equation expression extremal extremum fact finite follows at once formula given Green's formula Green's function harmonic function homogeneous equation independent variables inequality initial condition initial data inside integral equation integral surface interval kernel Laplace's equation left-hand side lemma linear non-zero normal obtain order derivatives order equation orthogonal P₁ P₂ parameter partial derivatives plane Poisson bracket positive number proved required function right-hand side second order solution of equation substituting Suppose t₁ tangent theorem u₁ uniformly convergent vanishes whence it follows whilst write x₁ y₁ y²² ди дп