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| Integral equations |
45-00
| General reference works (handbooks, dictionaries, bibliographies, etc.)
| 45-01
| Instructional exposition (textbooks, tutorial papers, etc.)
| 45-02
| Research exposition (monographs, survey articles)
| 45-03
| Historical (must also be assigned at least one classification number from Section 01)
| 45-04
| Explicit machine computation and programs (not the theory of computation or programming)
| 45-06
| Proceedings, conferences, collections, etc.
| |
45A05
| Linear integral equations
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45B05
| Fredholm integral equations
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45C05
| Eigenvalue problems [See also 34Lxx, 35Pxx, 45P05, 47A75]
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45D05
| Volterra integral equations [See also 34A12]
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45Exx
| Singular integral equations [See also 30Exx, 44-XX, 30E20, 30E25, 44A15, 44A35]
[xref: 30E20, 30E25]
| 45E05 |
Integral equations with kernels of Cauchy type [See also 35J15]
| 45E10 |
Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) [See also 47B35]
| 45E99 |
None of the above, but in this section
| |
45Fxx
| Systems of linear integral equations
| 45F05 |
Systems of nonsingular linear integral equations
| 45F10 |
Dual, triple, etc., integral and series equations
| 45F15 |
Systems of singular linear integral equations
| 45F99 |
None of the above, but in this section
| |
45Gxx
| Nonlinear integral equations [See also 47H30, 47Jxx]
[xref: 47H30]
| 45G05 |
Singular nonlinear integral equations
| 45G10 |
Other nonlinear integral equations
| 45G15 |
Systems of nonlinear integral equations
| |
45H05
| Miscellaneous special kernels [See also 44A15]
| |
45J05 |
| Integro-ordinary differential equations [See also 34K05, 34K30, 47G20]
[xref: 47G20]
| |
45K05
| Integro-partial differential equations [See also 34K30, 35R10, 47G20]
[xref: 47G20]
| |
45L05
| Theoretical approximation of solutions {For numerical analysis, see 65Rxx}
| |
45Mxx
| Qualitative behavior
| 45M05 |
Asymptotics
| 45M10 |
Stability theory
| 45M15 |
Periodic solutions
| 45M20 |
Positive solutions
| 45M99 |
None of the above, but in this section
| |
45N05
| Abstract integral equations, integral equations in abstract spaces
| |
45P05
| Integral operators [See also 47B38, 47G10]
[xref: 45C05, 47B35, 47G10, 47H30]
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45Q05
| Inverse problems
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45R05
| Random integral equations [See also 60H20]
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