×

zbMATH — the first resource for mathematics

Mathematics Subject Classification – MSC2010

Calculus of variations and optimal control; optimization [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] 82888

General reference works (handbooks, dictionaries, bibliographies, etc.) 38

Instructional exposition (textbooks, tutorial papers, etc.) 686

Research exposition (monographs, survey articles) 960

Historical (must also be assigned at least one classification number from Section 01) 208

Explicit machine computation and programs (not the theory of computation or programming) 114

Proceedings, conferences, collections, etc. 943

Existence theories 37040

Free problems in one independent variable 349

Free problems in two or more independent variables 1021

Optimal control problems involving ordinary differential equations 3862

Optimal control problems involving partial differential equations 5407

Optimal control problems involving relations other than differential equations 254

Problems in abstract spaces [See also 90C48, 93C25] 2133

Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) 1243

Minimax problems 2085

Variational methods including variational inequalities [See also 47J20] 10639

Methods involving semicontinuity and convergence; relaxation 5097

Fréchet and Gateaux differentiability [See also 46G05, 58C20] 802

Nonsmooth analysis [See also 46G05, 58C50, 90C56] 5115

Set-valued and variational analysis [See also 28B20, 47H04, 54C60, 58C06] 2633

Problems involving randomness [See also 93E20] 1013

None of the above, but in this section 1067

Optimality conditions 18801

Free problems in one independent variable 581

Free problems in two or more independent variables 732

Problems involving ordinary differential equations 5049

Problems involving partial differential equations 4091

Problems involving relations other than differential equations 442

Problems in abstract spaces [See also 90C48, 93C25] 1934

Optimal solutions belonging to restricted classes 1078

Minimax problems 1144

Sensitivity, stability, well-posedness [See also 90C31] 2539

Problems involving randomness [See also 93E20] 1186

None of the above, but in this section 1395

Hamilton-Jacobi theories, including dynamic programming 6111

Dynamic programming method 3058

Viscosity solutions 1907

None of the above, but in this section 1623

Numerical methods [See also 90Cxx, 65Kxx] 14919

Methods based on necessary conditions 1215

Newton-type methods 2838

Methods of relaxation type 547

Discrete approximations 2504

Decomposition methods 1055

Methods involving duality 766

Other methods 3022

Methods of nonlinear programming type [See also 90C30, 65Kxx] 2996

None of the above, but in this section 1137

Miscellaneous topics 13835

Linear optimal control problems [See also 93C05] 480

Linear-quadratic problems 2419

Duality theory 2313

Periodic optimization 133

Impulsive optimal control problems 417

Problems with incomplete information [See also 93C41] 163

Optimal feedback synthesis [See also 93B52] 832

Inverse problems 806

Regularity of solutions 1640

Differential games 1691

Pursuit and evasion games 1020

Applications of optimal control and differential games [See also 90C90, 93C95] 3225

None of the above, but in this section 303

Manifolds [See also 58Exx] 7447

Minimal surfaces [See also 53A10, 58E12] 1688

Optimization of shapes other than minimal surfaces [See also 90C90] 2114

Sensitivity analysis 309

Geometric measure and integration theory, integral and normal currents [See also 28A75, 32C30, 58A25, 58C35] 1211

Variational problems in a geometric measure-theoretic setting 2666

None of the above, but in this section 347

Variational methods for eigenvalues of operators [See also 47A75] 1285

Variational methods for eigenvalues of operators [See also 47A75] (should also be assigned at least one other classification number in Section 49) 308

None of the above, but in this section 3

Variational principles of physics 3347

Variational principles of physics (should also be assigned at least one other classification number in section 49) 3333

None of the above, but in this section 12

Overview

00

General mathematics

01

History and biography

03

Mathematical logic and foundations

05

Combinatorics

06

Order, lattices, ordered algebraic structures

08

General algebraic systems

11

Number theory

12

Field theory and polynomials

13

Commutative algebra

14

Algebraic geometry

15

Linear and multilinear algebra; matrix theory

16

Associative rings and algebras

17

Nonassociative rings and algebras

18

Category theory, homological algebra

19

\(K\)-theory

20

Group theory and generalizations

22

Topological groups, Lie groups

26

Real functions

28

Measure and integration

30

Functions of a complex variable

31

Potential theory

32

Several complex variables and analytic spaces

33

Special functions

34

Ordinary differential equations

35

Partial differential equations

37

Dynamical systems and ergodic theory

39

Difference and functional equations

40

Sequences, series, summability

41

Approximation and expansions

42

Harmonic analysis on Euclidean spaces

43

Abstract harmonic analysis

44

Integral transforms, operational calculus

45

Integral equations

46

Functional analysis

47

Operator theory

49

Calculus of variations and optimal control; optimization

51

Geometry

52

Convex and discrete geometry

53

Differential geometry

54

General topology

55

Algebraic topology

57

Manifolds and cell complexes

58

Global analysis, analysis on manifolds

60

Probability theory and stochastic processes

62

Statistics

65

Numerical analysis

68

Computer science

70

Mechanics of particles and systems

74

Mechanics of deformable solids

76

Fluid mechanics

78

Optics, electromagnetic theory

80

Classical thermodynamics, heat transfer

81

Quantum Theory

82

Statistical mechanics, structure of matter

83

Relativity and gravitational theory

85

Astronomy and astrophysics

86

Geophysics

90

Operations research, mathematical programming

91

Game theory, economics, social and behavioral sciences

92

Biology and other natural sciences

93

Systems theory; control

94

Information and communication, circuits

97

Mathematics education

W3C

© 2019 FIZ Karlsruhe GmbH Privacy Policy Legal Notices Terms & Conditions