A Projection Of Numerical Solution For The Eigenvalue Of Integral Equation In L~p Space

Integral equation has an important role in the field of natural science.Many practical problems in natural science and engineering can be transformed into solv-ing the eigenvalue problem of compact linear integral operator.In recent years,the numerical solution of eigenvalue problem has attracted extensive attention.At present,Galerkin method,collocation method,Nystr"o m method and degenerate nuclear method are commonly used in the literature.This paper is mainly based on a numerical solution of eigenvalues of integral e-quation in L1 space[24]and literature on the eigenvalues of Pspace integral equation[26]This paper discussed the problem of projection about The eigenvalue problem of compact operator the eigenvalue of integral equation in Lp space.A discrete method is given.The eigenvalue of the matrix obtained by means of integral mean projection is the approximate eigenvalue of the original equation,the rationality of the proposed algorithm is proved and a specific example is given.Then,using Matlab to calculate and proving the method is better.