【摘要】 通过建立新的比较定理,利用上下解和单调迭代方法,在下解α(t)与上解β(t)满足条件:α(t)≤β(t), t∈[0,2π],但α(0)≤/α(2π),β(0)≥/β(2π)的条件下获得了一类一阶非线性积分 微分方程周期边值问题的极值解的存在性定理.更多还原

【Abstract】 By establishing a new comparison theorem and applying monotone iterative technique coupled with the method of upper and lower solutions,an existence theorem of extremal solutions for periodic boundary value problems of nonlinear first order integrodifferential equation is obtained.Where lower solution α(t) and upper solution β(t) satisfy α(t)≤β(t),t∈,2π],but α(0)≤/α(2π),β(0)≥/β(2π).更多还原