【摘要】 本文考虑Banach空间中积分-微分方程的周期边值问题,利用抽象锥、推广了的比较定理及非线性算子的不动点定理,构造出两个单调迭代序列,证明了Banach空间中积分-微分方程具有周期边值的最小解最大解存在定理。更多还原

【Abstract】 By using the concept of abstract cone,improved comparable theorem and fixed point theorem of nonlinear operator and by discussing the periodic boundary condition of integral-differential equation in Banach spaces,this paper gave two monotonic iterative sequences also verified the minimum and maximum theorem for integral-differential equation with periodic boundary condition in Banach spaces.更多还原