ordinary differential equation
101Autonomous system (mathematics) — In mathematics, an autonomous system or autonomous differential equation is a system of ordinary differential equations which does not depend on the independent variable. Many laws in physics, where the independent variable is usually assumed to… …
102Symmetry in mathematics — For other uses, see Symmetry (disambiguation) and Bilateral (disambiguation). Symmetry occurs not only in geometry, but also in other branches of mathematics. It is actually the same as invariance: the property that something does not change… …
103Abel's identity — Abel s formula redirects here. For the formula on difference operators, see Summation by parts. In mathematics, Abel s identity (also called Abel s differential equation identity) is an equation that expresses the Wronskian of two homogeneous… …
104Harmonic oscillator — This article is about the harmonic oscillator in classical mechanics. For its uses in quantum mechanics, see quantum harmonic oscillator. Classical mechanics …
105Calculus 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 …
106Hypergeometric series — In mathematics, a hypergeometric series is a power series in which the ratios of successive coefficients k is a rational function of k . The series, if convergent, will define a hypergeometric function which may then be defined over a wider… …
107Boundary value problem — In mathematics, in the field of differential equations, a boundary value problem is a differential equation together with a set of additional restraints, called the boundary conditions. A solution to a boundary value problem is a solution to the… …
108Finite difference method — In mathematics, finite difference methods are numerical methods for approximating the solutions to differential equations using finite difference equations to approximate derivatives. Intuitive derivation Finite difference methods approximate the …
109Oscillation theory — In mathematics, in the field of ordinary differential equations, a non trivial solution to an ordinary differential equation is called oscillating if it has an infinite number of roots, otherwise it is called non oscillating. The differential… …
110Associated Legendre function — Note: This article describes a very general class of functions. An important subclass of these functions mdash;those with integer ell and m mdash;are commonly called associated Legendre polynomials , even though they are not polynomials when m is …
