The Methods for Solving a Class of Nonlinear Integral Equations

Abstract:

      This paper deals with the problem for solving a class of nonlinear integral equations in reproducing kernel space W(Ω) . We use the reproducing kernel method to transform nonlinear integral equation K₁uK₂u+K₃u =f into a 2-dimension linear integral equation. We give also the factorization method and the characteristic value method to solve this nonlinear integral equation.