Volterra型积分微分方程非线性边值问题解的存在性和唯一性

EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR NONLINEAR BOUNDARY VALUE PROBLEMS OF VOLTERRA TYPE INTEGRO-DIFFERENTIAL EQUATIONS

本文利用上下解方法得到了带Volterra型积分算子的非线性边值问题u″＝f（t，u，u′，Tu），a1u（0）-a2u′（0）＝A。

In this paper, we obtain existence and uniqueness of solutions for nonlinear boundary value problems of the from u″＝f（t，u，u′，Tu），a1u（0）-a2u′（0）＝A，b1u（1）＋b2u′（1）＝Bwith Volterra type operator by means of upper and lower solutions method.