时间测度上奇异高阶两点边值问题解的存在性与唯一性

滕南, 马扶博, 于童, 莫冉

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

数学季刊 >

2017 , Vol. 32 >Issue 1: 49 - 58

DOI: https://doi.org/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

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

TENG Nan(1995-), female, native of Hailun, Heilongjiang, an undergraduate of Harbin University,engages in application and modeling of di®erential equation.

收稿日期: 2015-12-12

网络出版日期: 2020-10-26

基金资助

Supported by the Foundation for Students Innovative Projects of Heilongjiang Province(201510234012)；

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

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

TENG Nan(1995-), female, native of Hailun, Heilongjiang, an undergraduate of Harbin University,engages in application and modeling of di®erential equation.

Received date: 2015-12-12

Online published: 2020-10-26

Supported by

Supported by the Foundation for Students Innovative Projects of Heilongjiang Province(201510234012)；

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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

本文引用格式

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

Abstract

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

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