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Equation Index

• Algebraic Equations
• Ordinary Differential Equations
• Mathematical Physics Equations (Partial Differential Equations)
• Integral Equations
• Functional Equations

Index of Named Algebraic Equations

1. Algebraic equation, general form, nth degree
2. binomial algebraic equation, nth degree
3. biquadratic equation
4. cubic equation
5. generalized reciprocal equation
6. linear (algebraic) equation
7. modified reciprocal equation
8. quadratic equation
9. quartic equation, general form
10. reciprocal (algebraic) equation, 4th degree
11. reciprocal (algebraic) equation, nth degree
12. reciprocal equation, generalized, 4th degree
13. reciprocal equation, modified, 4th degree
14. system of two linear (algebraic) equations
15. system of n linear (algebraic) equations

Index of Named Ordinary Differential Equations

1. Abel differential equation, second kind
2. Abel differential equation, second kind, canonical form
3. Abel differential equation, second kind, special case
4. autonomous equation, first-order
5. autonomous equation, second-order (i)
6. autonomous equation, second-order (ii)
7. autonomous system of general form
8. Bernoulli equation
9. Bessel equation
10. Bessel equation, modified
11. Clairaut system
12. constant coefficient linear differential equation, second-order
13. constant coefficient linear differential equation, nth-order
14. damped vibrations equation
15. degenerate hypergeometric equation
16. Emden-Fowler equation
17. equation of transverse vibrations of a pointed bar
18. equations of motion of a point mass in central force field
19. equations of motion of a point mass in gravitational field (n = 2)
20. equations of motion of a point mass in gravitational field (n = 3)
21. equations of motion of a projectile
22. Ermakov (Yermakov) equation
23. Ermakov (Yermakov) system
24. Euler equation, second-order
25. Euler equation, nth-order
26. free oscillations equation
27. Gaussian hypergeometric equation
28. generalized Ermakov (Yermakov) system
29. homogeneous equation, first-order
30. homogeneous equation, first-order, generalized
31. homogeneous equation, second-order
32. homogeneous equation, second-order, generalized (i)
33. homogeneous equation, second-order, generalized (ii)
34. hypergeometric equation
35. hypergeometric equation, degenerate
36. Legendre equation, special case (i)
37. Legendre equation, special case (ii)
38. Legendre equation
39. Lienard equation
40. linear differential equation, first-order
41. linear differential equations, second-order
42. linear differential equations, higher-order
43. linear systems of three differential equations
44. linear systems of two differential equations
45. Lorenz equations
46. Mathieu equation
47. Mathieu equation, modified
48. modified Bessel equation
49. modified Mathieu equation
50. nonlinear differential equations, second-order
51. nonlinear differential equations, higher-order
52. nonlinear systems of three differential equations
53. nonlinear systems of two differential equations
54. Riccati equation, general
55. Riccati equation, special
56. separable equation
57. systems of three linear differential equations
58. systems of three nonlinear differential equations
59. systems of two linear differential equations
60. systems of two nonlinear differential equations
61. Yermakov (Ermakov) equation
62. Yermakov (Ermakov) system

Index of Named Partial Differential Equations

1. anisotropic heat/diffusion equation
2. biharmonic equation, homogeneous
3. biharmonic equation, nonhomogeneous
4. Boussinesq equation
5. Burgers equation
6. delay reaction-diffusion equations
7. diffusion equation
8. diffusion equations, linear
9. equation of motion of viscous fluid
10. equation of steady transonic gas flow
11. equation of transverse vibration of elastic rods
12. equation of vibration of a gas with central symmetry
13. elliptic equations, linear
14. elliptic equations, nonlinear
15. first-order partial differential equations, linear
16. first-order partial differential equations, quasilinear
17. first-order partial differential equations, nonlinear
18. Fisher equation
19. FitzHugh-Nagumo equation
20. heat and mass transfer equation, nonlinear, with volume reaction
21. heat equation, linear homogeneous
22. heat equation, linear nonhomogeneous
23. heat equation, linear with axial symmetry
24. heat equation, linear with central symmetry
25. heat equation, nonlinear
26. heat equation, nonlinear general
27. heat equation, nonlinear general, with a source
28. heat equation, stationary with a nonlinear source
29. heat equation with a power-law nonlinearity
30. heat equation with a exponential nonlinearity
31. heat equations, linear
32. heat/mass transfer equation for anisotropic media with volume reaction (i)
33. heat/mass transfer equation for anisotropic media with volume reaction (ii)
34. heat/mass transfer equation for anisotropic media with volume reaction (iii)
35. Helmholtz equation
36. hydrodynamic boundary layer equation
37. hydrodynamic boundary layer equation, with pressure gradient
38. hyperbolic equations, linear
39. Khokhlov-Zabolotskaya equation
40. Klein-Gordon equation, linear homogeneous
41. Klein-Gordon equation, linear nonhomogeneous
42. Klein-Gordon equation, nonlinear
43. Korteweg-de Vries equation
44. Korteweg-de Vries equation, cylindrical
45. Korteweg-de Vries equation, generalized
46. Korteweg-de Vries equation, modified
47. Laplace equation
48. mathematical biology systems
49. Monge-Ampere (Monge-Ampère) equation, homogeneous
50. Monge-Ampere (Monge-Ampère) equation, nonhomogeneous (i)
51. Monge-Ampere (Monge-Ampère) equation, nonhomogeneous (ii)
52. Navier-Stokes equations
53. Newell-Whitehead equation
54. nonlinear systems of two elliptic equations
55. nonlinear systems of two hyperbolic equations
56. nonlinear systems of two parabolic equations
57. parabolic equations, linear
58. parabolic equations, nonlinear
59. Poisson equation
60. reaction-diffusion equations, delay
61. reaction-diffusion systems, nonlinear
62. Schrodinger (Schrödinger) equation, linear
63. Schrodinger (Schrödinger) equation with a cubic nonlinearity
64. Schrodinger (Schrödinger) equation with a power-law nonlinearity
65. Schrodinger (Schrödinger) equation, nonlinear of a general form
66. sine-Gordon equation
67. sinh-Gordon equation
68. stationary heat equation with a nonlinear source
69. systems of general form, linear and nonlinear
70. systems of reaction-diffusion equations
71. telegraph equation
72. Tricomi equation
73. wave equation, linear homogeneous
74. wave equation, linear nonhomogeneous
75. wave equation, linear with axial symmetry
76. wave equation, nonlinear (encountered in gas dynamics)
77. wave equations, linear
78. wave equations, nonlinear

Index of Named Integral Equations

1. Abel integral equation
2. Abel integral equation, generalized
3. Abel integral equation, second kind
4. Abel integral equation, second kind, generalized
5. Carleman's equation
6. Fredholm integral equation, first kind
7. Fredholm integral equation, second kind
8. generalized Abel integral equation
9. generalized Abel integral equation, second kind
10. Lalesco-Picard equation
11. Volterra integral equations, second kind
12. linear integral equations with constant limits of integration, first kind
13. linear integral equations with constant limits of integration, second kind
14. linear integral equations with variable limit of integration, first kind
15. linear integral equations with variable limit of integration, second kind
16. nonlinear integral equations with constant limits of integration
17. nonlinear integral equations with variable limit of integration
18. renewal equation
19. Schlomilch (Schlömilch) equation
20. Tricomi's equation
21. Volterra integral equations, first kind
22. Volterra integral equations, second kind
23. Wiener-Hopf equation, first kind
24. Wiener-Hopf equation, second kind

Index of Named Functional Equations

1. Babbage equation (equation of involutory functions)
2. basic equation of information theory
3. bilinear functional equation (i)
4. bilinear functional equation (ii)
5. Cantor's first equation
6. Cantor's second equation
7. Cauchy's equation
8. Cauchy's equation, exponential
9. Cauchy's equation, logarithmic
10. Cauchy's equation, power-law
11. constant-coefficient linear homogeneous difference equation, first-order
12. constant-coefficient linear homogeneous difference equation, second-order
13. constant-coefficient linear homogeneous difference equation, nth-order
14. constant-coefficient linear nonhomogeneous difference equation, first-order
15. constant-coefficient linear nonhomogeneous difference equation, second-order
16. constant-coefficient linear nonhomogeneous difference equation, nth-order
17. D'Alembert equation
18. difference equations with one independent variable
19. exponential Cauchy equation
20. Gauss equation
21. homogeneity equation
22. Jensen equation
23. linear functional equations with one independent variable
24. linear functional equations with several independent variables
25. Lobachevsky equation
26. logarithmic Cauchy equation
27. nonlinear functional equations with one independent variable
28. nonlinear functional equations with several independent variables
29. Pexider's equation
30. power-law Cauchy equation