46-01 | Textbooks (functional analysis) |

46C05 | Hilbert and pre-Hilbert spaces: geometry and topology |

46F05 | Topological linear spaces of test functions, distributions and ultradistributions |

46B03 | Isomorphic theory (including renorming) of Banach spaces |

46B10 | Duality and reflexivity in normed spaces |

46E15 | Banach spaces of continuous, differentiable or analytic functions |

46E20 | Hilbert spaces of continuous, differentiable or analytic functions |

46E30 | Spaces of measurable functions |

46E35 | Sobolev spaces and other spaces of “smooth” functions, embedding theorems, trace theorems |

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; rigged Hilbert spaces |

47B06 | Riesz operators; eigenvalue distributions; approximation numbers, $s$-numbers etc.of operators |

47B38 | Operators on function spaces (general) |

47D03 | (Semi)groups of linear operators |

47E05 | Ordinary differential operators |

47F05 | Partial differential operators |

47Gxx | Integral, integro-differential, and pseudodifferential operators |

47H10 | Fixed point theorems for nonlinear operators on topological linear spaces |

47J05 | Equations involving nonlinear operators (general) |

47J25 | Iterative procedures (nonlinear operator equations) |

49R50 | Variational methods for eigenvalues of operators (MSC2000) |

34A30 | Linear ODE and systems, general |

34A35 | ODE of infinite order |

34L99 | Ordinary differential operators |

34C15 | Nonlinear oscillations, coupled oscillators (ODE) |

34D99 | Stability theory of ODE |

34E99 | Asymptotic theory of ODE |

35A05 | General existence and uniqueness theorems (PDE) (MSC2000) |

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 | Laplacian operator, reduced wave equation (Helmholtz equation), Poisson equation |

35K05 | Heat equation |

35L05 | Wave equation (hyperbolic PDE) |

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 topics in linear spectral theory of PDE |

42A16 | Fourier coefficients, special Fourier series, etc. |

42A20 | Convergence and absolute convergence of Fourier and 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 | Local and nonlocal bifurcation theory |

76R99 | Diffusion and convection (fluid mechanics) |

76U05 | Rotating fluids |