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Banach空间中一类不连续非增Volterra型积分方程的耦合正解及其应用
引用本文:张洪谦. Banach空间中一类不连续非增Volterra型积分方程的耦合正解及其应用[J]. 淮北煤炭师范学院学报(自然科学版), 2000, 0(2)
作者姓名:张洪谦
作者单位:昌潍师范专科学校数学系!山东潍坊261043
基金项目:国家自然科学基金!(198710 48),山东省自然科学基金!(Y97A12 0 17)资助项目
摘    要:在Banach空间中得到了一类不连续非增Volterra型积分方程的最大最小耦合正解 ,并给出了不连续非增Volterra型积分方程初值问题的应用 .

关 键 词:序Banach空间  Volterra型积分方程  耦合正解

Coupled Positive Solutions for a Class of Discontinuous Nonmontone Volterra Type Integral Equations in Banach Spaces and Its Applications
ZHANG Hong qian. Coupled Positive Solutions for a Class of Discontinuous Nonmontone Volterra Type Integral Equations in Banach Spaces and Its Applications[J]. Journal of Huaibei Coal Industry Teachers College(Natural Science edition), 2000, 0(2)
Authors:ZHANG Hong qian
Abstract:In this paper,an existence theorem on the coupled minimal and maximal positive solutions for a class of discontinuous nonmonotone Volterra type integral equations in Banach spaces is obtained.An application to initial value problems for a class of discontinuous integro differential equation of Volterra type is also given.
Keywords:ordered Banach space  Volterra type integral equations  coupled positive solutions
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