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Navegando por la clasificación temática MSC 2000: 49 · Calculus of variations and optimal control; optimization
 
49 Calculus of variations and optimal control; optimization
  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
  49-04 Explicit machine computation and programs (not the theory of computation or programming)
  49-06 Proceedings, conferences, collections, etc.
  49-99 Calculus of variations and optimal control; optimization (not classified at a more specific level)
 
  49J 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 also 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 47J20]
    49J45 Methods involving semicontinuity and convergence; relaxation
    49J50 Fréchet 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, 58C06]
    49J55 Problems involving randomness [See also 93E20]
    49J99 None of the above, but in this section
 
  49K 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 also 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
 
  49L Hamilton-Jacobi theories, including dynamic programming
    49L20 Dynamic programming method
    49L25 Viscosity solutions
    49L99 None of the above, but in this section
 
  49M 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
 
  49N 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
 
  49Q 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
 
 

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