- the eigenvalue and eigenfunction problem
- Математика: задача на собственные значения (for a linear perturbed second-order equation is considered...)
Универсальный англо-русский словарь. Академик.ру. 2011.
Универсальный англо-русский словарь. Академик.ру. 2011.
Eigenvalue, eigenvector and eigenspace — In mathematics, given a linear transformation, an Audio|De eigenvector.ogg|eigenvector of that linear transformation is a nonzero vector which, when that transformation is applied to it, changes in length, but not direction. For each eigenvector… … Wikipedia
Eigenfunction — [ vibrating drum problem is, at any point in time, an eigenfunction of the Laplace s equation on a disk.] In mathematics, an eigenfunction of a linear operator, A , defined on some function space is any non zero function f in that space that… … Wikipedia
Eigenvalues and eigenvectors — For more specific information regarding the eigenvalues and eigenvectors of matrices, see Eigendecomposition of a matrix. In this shear mapping the red arrow changes direction but the blue arrow does not. Therefore the blue arrow is an… … Wikipedia
Spectral theory of ordinary differential equations — In mathematics, the spectral theory of ordinary differential equations is concerned with the determination of the spectrum and eigenfunction expansion associated with a linear ordinary differential equation. In his dissertation Hermann Weyl… … Wikipedia
Calculus of variations — is a field of mathematics that deals with extremizing functionals, as opposed to ordinary calculus which deals with functions. A functional is usually a mapping from a set of functions to the real numbers. Functionals are often formed as definite … Wikipedia
Mason-Weaver equation — The Mason Weaver equation describes the sedimentation and diffusion of solutes under a uniform force, usually a gravitational field.cite journal | last = Mason | first = M | coauthors = Weaver W | year = 1924 | title = The Settling of Small… … Wikipedia
Lippmann-Schwinger equation — The Lippmann Schwinger equation (named after Bernard A. Lippmann and Julian Schwinger) is of importance to scattering theory. The equation is: | psi^{(pm)} angle = | phi angle + frac{1}{E H 0 pm i epsilon} V |psi^{(pm)} angle. ,DerivationWe will… … Wikipedia
Sturm-Liouville theory — In mathematics and its applications, a classical Sturm Liouville equation, named after Jacques Charles François Sturm (1803 1855) and Joseph Liouville (1809 1882), is a real second order linear differential equation of the formwhere y is a… … Wikipedia
Wave function — Not to be confused with the related concept of the Wave equation Some trajectories of a harmonic oscillator (a ball attached to a spring) in classical mechanics (A B) and quantum mechanics (C H). In quantum mechanics (C H), the ball has a wave… … Wikipedia
Hilbert space — For the Hilbert space filling curve, see Hilbert curve. Hilbert spaces can be used to study the harmonics of vibrating strings. The mathematical concept of a Hilbert space, named after David Hilbert, generalizes the notion of Euclidean space. It… … Wikipedia
Quantum graph — In mathematics and physics, a quantum graph is a linear, network shaped structure whose time evolution is described by a system of schrödinger equations or, more generally, by a set of evolution equations associated with differential or pseudo… … Wikipedia