Chinese Quarterly Journal of Mathematics ›› 2017, Vol. 32 ›› Issue (1): 49-58.doi: 10.13371/j.cnki.chin.q.j.m.2017.01.006

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

  

  1. 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);

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

CLC Number: