Classification Search Result

Mathematics Subject Classification – MSC2020

45-XX

Integral equations

43772

45-00

General reference works (handbooks, dictionaries, bibliographies, etc.) pertaining to integral equations

45-01

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to integral equations

171

45-02

Research exposition (monographs, survey articles) pertaining to integral equations

197

45-03

History of integral equations [Consider also classification numbers from Section 01-XX]

45-04

Software, source code, etc. for problems pertaining to integral equations

45-06

Proceedings, conferences, collections, etc. pertaining to integral equations

171

45-11

Research data for problems pertaining to integral equations

45Axx

Linear integral equations

1581

45A05

Linear integral equations

1569

45A99

None of the above, but in this section

45Bxx

Fredholm integral equations

5007

45B05

Fredholm integral equations

4987

45B99

None of the above, but in this section

45Cxx

Eigenvalue problems for integral equations [See also 34Lxx, 35Pxx, 45P05, 47A75]

1266

45C05

Eigenvalue problems for integral equations [See also 34Lxx, 35Pxx, 45P05, 47A75]

1260

45C99

None of the above, but in this section

45Dxx

Volterra integral equations [See also 34A12]

5899

45D05

Volterra integral equations [See also 34A12]

5864

45D99

None of the above, but in this section

45Exx

Singular integral equations [See also 30E20, 30E25, 44A15, 44A35]

8456

45E05

Integral equations with kernels of Cauchy type [See also 35J15]

3236

45E10

Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) [See also 47B35]

4513

45E99

None of the above, but in this section

676

45Fxx

Systems of linear integral equations

1749

45F05

Systems of nonsingular linear integral equations

672

45F10

Dual, triple, etc., integral and series equations

445

45F15

Systems of singular linear integral equations

594

45F99

None of the above, but in this section

45Gxx

Nonlinear integral equations [See also 47H30, 47Jxx]

8427

45G05

Singular nonlinear integral equations

1393

45G10

Other nonlinear integral equations

6038

45G15

Systems of nonlinear integral equations

1014

45G99

None of the above, but in this section

45Hxx

Integral equations with miscellaneous special kernels [See also 44A15]

941

45H05

Integral equations with miscellaneous special kernels [See also 44A15]

931

45H99

None of the above, but in this section

45Jxx

Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]

7707

45J05

Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]

7615

45J99

None of the above, but in this section

45Kxx

Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20]

7747

45K05

Integro-partial differential equations [See also 34K30, 35R09, 35R10, 47G20]

7721

45K99

None of the above, but in this section

45Lxx

Theoretical approximation of solutions to integral equations {For numerical analysis, see 65Rxx}

2015

45L05

Theoretical approximation of solutions to integral equations {For numerical analysis, see 65Rxx}

2012

45L99

None of the above, but in this section

45Mxx

Qualitative behavior of solutions to integral equations

3635

45M05

Asymptotics of solutions to integral equations

1624

45M10

Stability theory for integral equations

1290

45M15

Periodic solutions of integral equations

427

45M20

Positive solutions of integral equations

562

45M99

None of the above, but in this section

202

45Nxx

Abstract integral equations, integral equations in abstract spaces

2022

45N05

Abstract integral equations, integral equations in abstract spaces

2017

45N99

None of the above, but in this section

45Pxx

Integral operators [See also 47B38, 47G10]

2422

45P05

Integral operators [See also 47B38, 47G10]

2416

45P99

None of the above, but in this section

45Qxx

Inverse problems for integral equations

745

45Q05

Inverse problems for integral equations

743

45Q99

None of the above, but in this section

45Rxx

Random integral equations [See also 60H20]

303

45R05

Random integral equations [See also 60H20]

302

45R99

None of the above, but in this section

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