时间测度上奇异高阶两点边值问题解的存在性与唯一性

doi:10.13371/j.cnki.chin.q.j.m.2017.01.006

数学季刊 ›› 2017, Vol. 32 ›› Issue (1): 49-58.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.006

时间测度上奇异高阶两点边值问题解的存在性与唯一性

1. Department of Mathematics,Harbin University2. Department of Civil Engineering,Harbin University

收稿日期:2015-12-12 出版日期:2017-03-30 发布日期:2020-10-26
作者简介:TENG Nan(1995-), female, native of Hailun, Heilongjiang, an undergraduate of Harbin University,engages in application and modeling of di®erential equation.
基金资助:
Supported by the Foundation for Students Innovative Projects of Heilongjiang Province(201510234012)；

Existence and Uniqueness of Solutions to Singular Higher Order Two-point BVPs on Time Scales

1. Department of Mathematics,Harbin University2. Department of Civil Engineering,Harbin University

Received:2015-12-12 Online:2017-03-30 Published:2020-10-26
About author:TENG Nan(1995-), female, native of Hailun, Heilongjiang, an undergraduate of Harbin University,engages in application and modeling of di®erential equation.
Supported by:
Supported by the Foundation for Students Innovative Projects of Heilongjiang Province(201510234012)；

摘要/Abstract

摘要： This paper investigates the existence and uniqueness of solutions for singular higher order boundary value problems on time scales by using mixed monotone method.The theorems obtained are very general. For the different time scale, the problem may be the corresponding continuous or discrete boundary value problem.

关键词: time scale, boundary value problem, mixed monotone operator, singularity

Abstract: This paper investigates the existence and uniqueness of solutions for singular higher order boundary value problems on time scales by using mixed monotone method.The theorems obtained are very general. For the different time scale, the problem may be the corresponding continuous or discrete boundary value problem.

Key words: time scale, boundary value problem, mixed monotone operator, singularity

中图分类号:

O175.8

滕南, 马扶博, 于童, 莫冉. 时间测度上奇异高阶两点边值问题解的存在性与唯一性[J]. 数学季刊, 2017, 32(1): 49-58.

TENG Nan, MA Fu-bo, YU Tong, MO Ran. Existence and Uniqueness of Solutions to Singular Higher Order Two-point BVPs on Time Scales[J]. Chinese Quarterly Journal of Mathematics, 2017, 32(1): 49-58.

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时间测度上奇异高阶两点边值问题解的存在性与唯一性

Existence and Uniqueness of Solutions to Singular Higher Order Two-point BVPs on Time Scales

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