|
49-XX
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Calculus of variations and optimal control; optimization
[See also
34H05,
34K35,
65Kxx,
90Cxx,
93-XX]
|
|
49-00
|
General reference works (handbooks, dictionaries, bibliographies, etc.)
|
|
49-01
|
Instructional exposition (textbooks, tutorial papers, etc.)
|
|
49-02
|
Research exposition (monographs, survey articles)
|
|
49-03
|
Historical {!must also be assigned at least one classification number from section 01}
|
|
49-04
|
Explicit machine computation and programs (not the theory of computation or programming)
|
|
49-06
|
Proceedings, conferences, collections, etc.
|
|
49Jxx
|
Existence theories
|
|
49J05
|
Free problems in one independent variable
|
|
49J10
|
Free problems in two or more independent variables
|
|
49J15
|
Optimal control problems involving ordinary differential equations
|
|
49J20
|
Optimal control problems involving partial differential equations
|
|
49J22
|
Optimal control problems involving integral equations
|
|
49J24
|
Optimal control problems involving differential inclusions
[See also
34A60]
|
|
49J25
|
Optimal control problems involving equations with retarded arguments
[See also
34K35]
|
|
49J27
|
Problems in abstract spaces
[See
90C48,
93C25]
|
|
49J30
|
Optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.)
|
|
49J35
|
Minimax problems
|
|
49J40
|
Variational methods including variational inequalities
[See also
47Hxx]
|
|
49J45
|
Methods involving semicontinuity and convergence; relaxation
|
|
49J50
|
Fr\'echet and Gateaux differentiability
[See also
46G05,
58C20]
|
|
49J52
|
Nonsmooth analysis
[See also
46G05,
58C50]
|
|
49J53
|
Set-valued and variational analysis
[See also
28B20,
47H04,
54C60,
58C05]
|
|
49J55
|
Problems involving randomness
[See also
93E20]
|
|
49J99
|
None of the above, but in this section
|
|
49Kxx
|
Necessary conditions and sufficient conditions for optimality
|
|
49K05
|
Free problems in one independent variable
|
|
49K10
|
Free problems in two or more independent variables
|
|
49K15
|
Problems involving ordinary differential equations
|
|
49K20
|
Problems involving partial differential equations
|
|
49K22
|
Problems involving integral equations
|
|
49K24
|
Problems involving differential inclusions
[See also
34A60]
|
|
49K25
|
Problems involving equations with retarded arguments
[See also
34K35]
|
|
49K27
|
Problems in abstract spaces
[See
90C48,
93C25]
|
|
49K30
|
Optimal solutions belonging to restricted classes
|
|
49K35
|
Minimax problems
|
|
49K40
|
Sensitivity, stability, well-posedness
[See also
90C31]
|
|
49K45
|
Problems involving randomness
[See also
93E20]
|
|
49K99
|
None of the above, but in this section
|
|
49Lxx
|
Hamilton - Jacobi theories, including dynamic programming
|
|
49L20
|
Dynamic programming method
|
|
49L25
|
Viscosity solutions
|
|
49L99
|
None of the above, but in this section
|
|
49Mxx
|
Methods of successive approximations
[See also
90Cxx,
65Kxx]
|
|
49M05
|
Methods based on necessary conditions
|
|
49M15
|
Methods of Newton - Raphson, Galerkin and Ritz types
|
|
49M20
|
Methods of relaxation type
|
|
49M25
|
Discrete approximations
|
|
49M27
|
Decomposition methods
|
|
49M29
|
Methods involving duality
|
|
49M30
|
Other methods, not based on necessary conditions (penalty function, etc.)
|
|
49M37
|
Methods of nonlinear programming type
[See also
90C30,
65Kxx]
|
|
49M99
|
None of the above, but in this section
|
|
49Nxx
|
Miscellaneous topics
|
|
49N05
|
Linear optimal control problems
[See also
93C05]
|
|
49N10
|
Linear-quadratic problems
|
|
49N15
|
Duality theory
|
|
49N20
|
Periodic optimization
|
|
49N25
|
Impulsive optimal control problems
|
|
49N30
|
Problems with incomplete information
[See also
93C41]
|
|
49N35
|
Optimal feedback synthesis
[See also
93B52]
|
|
49N45
|
Inverse problems
|
|
49N60
|
Regularity of solutions
|
|
49N70
|
Differential games
|
|
49N75
|
Pursuit and evasion games
|
|
49N90
|
Applications of optimal control and differential games
[See also
90C90,
93C95]
|
|
49N99
|
None of the above, but in this section
|
|
49Qxx
|
Manifolds
[See also
58Exx]
|
|
49Q05
|
Minimal surfaces
[See also
53A10,
58E12]
|
|
49Q10
|
Optimization of shapes other than minimal surfaces
[See also
90C90]
|
|
49Q12
|
Sensitivity analysis
|
|
49Q15
|
Geometric measure and integration theory, integral and normal currents
[See also
28A75,
32C30,
58A25,
58C35]
|
|
49Q20
|
Variational problems in a geometric measure-theoretic setting
|
|
49Q99
|
None of the above, but in this section
|
|
49R50
|
Variational methods for eigenvalues of operators
[See also
47A75]
|
|
49S05
|
Variational principles of physics
|