La Classification Mathématique par matières 2000
Mathematics subject Classification 2000

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49-XX 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.
• 49-99 Calculus of variations and optimal control; optimization (not classified at a more specific level)
• 49Jxx Existence theories
• 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, 35R70]
  • 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
• 49Lxx Hamilton-Jacobi theories, including dynamic programming
• 49Mxx Methods of successive approximations [See also 90Cxx, 65Kxx]
• 49Nxx Miscellaneous topics
• 49Qxx Manifolds [See also 58Exx, 74Pxx]
• 49R50 Variational methods for eigenvalues of operators [See also 47A75] [Nouveau code MSC 2000]
  • Codes MSC1991 affiliés : 49Rxx, 49R05, 49R10, 49R1549R2049R99
• 49S05 Variational principles of physics

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