实半轴上某类积分方程的数值解
Numerical solution of a certain type of integral equations on the real half-line
AI总结：
针对包含从0到t和从t到无穷两个积分项的非线性积分方程组，提出数值方法并证明收敛性及收敛速率，同时证明有限截断逼近无限维系统解的结果。
摘要：
我们开发了一种数值方法，用于求解包含两个积分项的非线性积分方程组：在当前时间t，一个积分从0到t，另一个不同的积分从t到无穷。我们证明了该方法的收敛性和收敛速率。离散化导致一个无限维非线性系统，我们还证明了用有限截断的解逼近无限维系统解的结果。
英文摘要：
We develop a numerical method for solving a system of nonlinear integral equations involving two integral terms: at the current time t, one integral is taken from 0 to t, and a different integral is taken from t to infinity. We prove the convergence and the rate of convergence of our method. The discretization results in an infinite-dimensional nonlinear system, and we also prove results on the approximation of the solution of the infinite-dimensional system by solution of finite truncations.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
