Classification Search Result

Mathematics Subject Classification – MSC2020

47-XX

Operator theory

173280

47Hxx

Nonlinear operators and their properties {For global and geometric aspects, see 49J53, 58-XX, especially 58Cxx}

38972

47H04

Set-valued operators [See also 28B20, 54C60, 58C06]

3289

47H05

Monotone operators and generalizations

5419

47H06

Nonlinear accretive operators, dissipative operators, etc.

2150

47H07

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces

1722

47H08

Measures of noncompactness and condensing mappings, \(K\)-set contractions, etc.

928

47H09

Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

10544

47H10

Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]

20288

47H11

Degree theory for nonlinear operators [See also 55M25, 58C30]

1644

47H14

Perturbations of nonlinear operators [See also 47A55, 58J37, 70H09, 70K60, 81Q15]

364

47H20

Semigroups of nonlinear operators [See also 37L05, 47J35, 54H15, 58D07]

2349

47H25

Nonlinear ergodic theorems [See also 28Dxx, 37Axx, 47A35]

151

47H30

Particular nonlinear operators (superposition, Hammerstein, Nemytskiĭ, Uryson, etc.) [See also 45Gxx, 45P05]

1325

47H40

Random nonlinear operators [See also 47B80, 60H25]

532

47H60

Multilinear and polynomial operators [See also 46G25]

471

47H99

None of the above, but in this section

904

Overview

General and overarching topics; collections

History and biography

Mathematical logic and foundations

Combinatorics

Order, lattices, ordered algebraic structures

General algebraic systems

Number theory

Field theory and polynomials

Commutative algebra

Algebraic geometry

Linear and multilinear algebra; matrix theory

Associative rings and algebras

Nonassociative rings and algebras

Category theory; homological algebra

\(K\)-theory

Group theory and generalizations

Topological groups, Lie groups

Real functions

Measure and integration

Functions of a complex variable

Potential theory

Several complex variables and analytic spaces

Special functions

Ordinary differential equations

Partial differential equations

Dynamical systems and ergodic theory

Difference and functional equations

Sequences, series, summability

Approximations and expansions

Harmonic analysis on Euclidean spaces

Abstract harmonic analysis

Integral transforms, operational calculus

Integral equations

Functional analysis

Operator theory

Calculus of variations and optimal control; optimization

Geometry

Convex and discrete geometry

Differential geometry

General topology

Algebraic topology

Manifolds and cell complexes

Global analysis, analysis on manifolds

Probability theory and stochastic processes

Statistics

Numerical analysis

Computer science

Mechanics of particles and systems

Mechanics of deformable solids

Fluid mechanics

Optics, electromagnetic theory

Classical thermodynamics, heat transfer

Quantum theory

Statistical mechanics, structure of matter

Relativity and gravitational theory

Astronomy and astrophysics

Geophysics

Operations research, mathematical programming

Game theory, economics, finance, and other social and behavioral sciences

Biology and other natural sciences

Systems theory; control

Information and communication theory, circuits

Mathematics education

any	anywhere
cc	classification code
ct	classification text

a & b	logical and
abc*	right wildcard
a \| b	logical or
"ab c"	phrase
!ab	logical not
(ab c)	parentheses

Examples

Fields

Operators

Mathematics Subject Classification – MSC2020

Overview