A+ CATEGORY SCIENTIFIC UNIT

Mathematical Sciences Classification System

45-XX - Integral equations

  • 2
    45-00
    General reference works (handbooks, dictionaries, bibliographies, etc.)
  • 14
    45-01
    Instructional exposition (textbooks, tutorial papers, etc.)
  • 2
    45-02
    Research exposition (monographs, survey articles)
  • 45-03
    Historical (must also be assigned at least one classification number from Section 01)
  • 2
    45-04
    Explicit machine computation and programs (not the theory of computation or programming)
  • 6
    45-06
    Proceedings, conferences, collections, etc.
  • (+11)
    Linear integral equations
  • 2
    (+12)
    Fredholm integral equations
  • 1
    Eigenvalue problems
    [See also 34Lxx, 35Pxx, 45P05, 47A75]
  • 3
    (+17)
    Volterra integral equations
    [See also 34A12]
  • 34
    (+9)
    Singular integral equations
    [See also 30E20, 30E25, 44A15, 44A35]
  • 2
    (+3)
    Systems of linear integral equations
  • 8
    (+2)
    Nonlinear integral equations
    [See also 47H30, 47Jxx]
  • 2
    Miscellaneous special kernels
    [See also 44A15]
  • (+11)
    Integro-ordinary differential equations
    [See also 34K05, 34K30, 47G20]
  • 2
    (+5)
    Integro-partial differential equations
    [See also 34K30, 35R09, 35R10, 47G20]
  • (+6)
    Theoretical approximation of solutions
    {For numerical analysis, see 65Rxx}
  • (+3)
    Qualitative behavior
  • (+2)
    Abstract integral equations, integral equations in abstract spaces
  • (+12)
    Integral operators
    [See also 47B38, 47G10]
  • (+8)
    Inverse problems
  • 1
    Random integral equations
    [See also 60H20]

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