科研之友
微信
新浪微博
Facebook
分享链接
摘要
In this work, we present a new constructive technique which is based on Green%26apos;s functional concept. According to this technique, a linear completely nonhomogeneous nonlocal problem for a second-order ordinary differential equation is reduced to one and only one integral equation in order to identify the Green%26apos;s solution. The coefficients of the equation are assumed to be generally variable nonsmooth functions satisfying some general properties such as p-integrability and boundedness. A system of three integro-algebraic equations called the special adjoint system is obtained for this problem. A solution of this special adjoint system is Green%26apos;s functional which enables us to determine the Green%26apos;s function and the Green%26apos;s solution for the problem. Some illustrative applications and comparisons are provided with some known results.
- 出版日期2012-7-19
