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

TENG Nan, MA Fu-bo, YU Tong, MO Ran

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

Chinese Quarterly Journal of Mathematics >

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

DOI: https://doi.org/10.13371/j.cnki.chin.q.j.m.2017.01.006

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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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

Cite this article

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

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