Solutions for a Class of Nonlinear Integro-Differential Equation on Unbounded Domains
无界域上一类非线性积分微分方程解的存在性

Under weaker conditions, the existence of solutions for a class of nonlinear integro-differential equation on the half line $R^{+}$ is investigated. By introducing the equivalent norm, by use of the recurrence method, Tonelii sequence and the locally convex topology, the new existence theorems are given under a weaker condition and the results generalize and improve the related ones for a class of nonlinear equations of the migration of the moisture in soil on bounded domains.