THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES

Jijun Ao; Nana Liu

doi:10.11948/20190233

2020 Volume 10 Issue 5

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Jijun Ao, Nana Liu. THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 1869-1877. doi: 10.11948/20190233

Citation:

Jijun Ao, Nana Liu. THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES[J]. Journal of Applied Analysis & Computation, 2020, 10(5): 1869-1877. doi: 10.11948/20190233

THIRD ORDER BOUNDARY VALUE PROBLEM WITH FINITE SPECTRUM ON TIME SCALES

Jijun Ao^1, ,,
Nana Liu¹

1.
College of Sciences, Inner Mongolia University of Technology, Hohhot, Inner Mongolia, 010051, China

Corresponding author: Email address:george_ao78@sohu.com(J. Ao)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11661059 and 11301259) and Natural Science Foundation of Inner Mongolia (No. 2017JQ07)

Abstract

Abstract

The eigenvalues of a class of third order boundary value problem on time scales is investigated. It is shown that this kind of third order boundary value problem has finite number of eigenvalues, and the same results on time scales are previously known only for even order cases. It can be illustrated that the number of eigenvalues depend on the partition of the time scale and the order of the equation.
- Third order boundary value problems /
- time scales /
- eigenvalues /
- finite spectrum
MSC: 34B09, 34B05

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References

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