Under the condition on the spectral radius of the linear operator,by using topological method,the existence of positive solutions for the singular boundary value problems of a sytem of second order ordinary differential equations is obtained.

Positive Solutions for Singular Boundary Value Problems of a Coupled System of Second Order Ordinary Differential Equations

In the process of traditional methods, the error rate of external boundary value problem is always at a high level, which seriously affects the subsequent calculation and cannot meet the requirements of current Volterra products. To solve this problem, Volterra's preprocessing method for the external boundary value problem of Integro differential equations is studied in this paper. The Sinc function is used to deal with the external value problem of Volterra Integro differential equation, which reduces the error of the external value problem and reduces the error of the external value problem. In order to prove the existence of the solution of the differential equation, when the existence of the solution can be proved, the differential equation is transformed into a Volterra integral equation, the Taylor expansion equation is used, the symplectic function is used to deal with the external value problem of homogeneous boundary conditions, and the uniform effective numerical solution of the external value problem of the equation is obtained by homogeneous transformation according to the non-homogeneous boundary conditions.

/pdf/a-pretreatment-method-of-volterra-the-external-boundary-44tuxl9kqe.pdf

Xiaojuan Chen

Papers

A Pretreatment Method of Volterra the External Boundary Value Problem of Integral Differential Equations