EqWorld logo

EqWorld

The World of Mathematical Equations

 IPM Logo

Home Page Exact Solutions Methods Software Education About This Site Math Forums

Exact Solutions > Integral Equations > Nonlinear Integral Equations with Constant Limits of Integration

PDF version of this page

6. Nonlinear Integral Equations with Constant Limits of Integration

  1. g(t) y(x) y(t) dt = f(x).
  2. f(t) y(t) y(xt) dt = A.
  3. f(t) y(t) y(x/t) dt = Axλ.
  4. y(x) + g(t) y(x) y(t) dt = f(x).
  5. y(x) + g(x) y(x) y(t) dt = f(x).
  6. y(x) + f(t) y(t) y(x/t) dt = 0.
  7. y(x) + f(t) y(x/t) y(t) dt = Axb.
  8. y(x) + f(t, y(t)) dt = g(x).
  9. y(x) + eλ(x−t) f(t, y(t)) dt = g(x).
  10. y(x) + g(x) f(t, y(t)) dt = h(x).
  11. y(x) + |x − t| f(t, y(t)) dt = g(x).
  12. y(x) + eλ|x−t| f(t, y(t)) dt = g(x).

The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations, partial differential equations, integral equations, functional equations, and other mathematical equations.

Copyright © 2004-2017 Andrei D. Polyanin