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MSC 2000:

*46-01 Textbooks (functional analysis)
46C05 Geometry and topology of inner product spaces
46F05 Topological linear spaces of test functions and distributions
46B03 Isomorphic theory (including renorming) of Banach spaces
46B10 Duality and reflexivity in normed spaces
46E15 Banach spaces of functions defined by smoothness properties
46E20 Hilbert spaces of functions defined by smoothness properties
46E30 Spaces of measurable functions
46E35 Sobolev spaces and generalizations
46F10 Operations with distributions (generalized functions)
46F12 Integral transforms in distribution spaces
47A05 General theory of linear operators
47A10 Spectrum and resolvent of linear operators
47A53 (Semi-)Fredholm operators; index theories
47A70 Eigenfunction expansions of linear operators
47B06 Riesz operators and eigenvalue distributions
47B38 Operators on function spaces
47D03 (Semi)groups of linear operators
47E05 Ordinary differential operators
47F05 Partial differential operators
47Gxx Integral operators and their generalizations
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
47J05 Equations involving nonlinear operators (general)
47J25 Methods for solving nonlinear operator equations (general)
49R50 Variational methods for eigenvalues of operators
34A30 Linear ODE and systems
34A35 ODE of infinite order
34L99 Ordinary differential operators
34C15 Nonlinear oscillations of solutions of ODE
34D99 Stability theory of ODE
34E99 Asymptotic theory of ODE
35A05 General existence and uniqueness theorems (PDE)
35A08 Fundamental solutions of PDE
35A15 Variational methods (PDE)
35A22 Transform methods (PDE)
35B32 Bifurcation (PDE)
35B35 Stability of solutions of PDE
35C20 Asymptotic expansions of solutions of PDE
35E05 Fundamental solutions (PDE with constant coefficients)
35J05 Laplace equation, etc.
35K05 Heat equation
35L05 Wave equation
35J15 Second order elliptic equations, general
35J20 Second order elliptic equations, variational methods
35J30 Higher order elliptic equations, general
35J35 Higher order elliptic equations, variational problems
35P05 General spectral theory of PDE
42A16 Fourier coefficients, etc.
42A20 Convergence trigonometric series
42A65 Completeness of sets of functions
42B05 Fourier series and coefficients, several variables
45B05 Fredholm integral equations
45C05 Eigenvalue problems (integral equations)
45D05 Volterra integral equations
45G10 Nonsingular nonlinear integral equations
70J25 Stability of linear oscillatory motions
70K20 Stability of nonlinear oscillations (general mechanics)
70K30 Nonlinear resonances (general mechanics)
37G99 Bifurcation theory
76R99 Diffusion and convection
76U05 Rotating fluids

Cited in: Zbl 1116.46001

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