二阶Volterra-Hammerstein型非线性积分微分方程的周期边值问题及其应用

Second Order Periodic Boundary Value Problems of Volterra-Hammerstein Integrodifferential Type Equation and Its Application

研究了二阶Volterra-Hammerstein型非线性积分微分方程的周期边值问题:un=f(t,T1u,T2u,u,u'),u(0)=u(1),u'(0)=u'(1),得到了解的存在性,并将所得结果应用于三阶、四阶边值问题.

This paper gives the existence of solutions for periodic boundary value problems of the form un =f(t, u,u',T1u,T2u), u(0) = u(1), u'(0) = u'(1) by means of the upper and lower solution method, and applies the results to third (fourth) order boundary value problems.