HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS

Haidong Liu

doi:10.11948/20190134

2020 Volume 10 Issue 1

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Haidong Liu. HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 234-248. doi: 10.11948/20190134

Citation:

Haidong Liu. HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS[J]. Journal of Applied Analysis & Computation, 2020, 10(1): 234-248. doi: 10.11948/20190134

HALF-LINEAR VOLTERRA-FREDHOLM TYPE INTEGRAL INEQUALITIES ON TIME SCALES AND THEIR APPLICATIONS

Haidong Liu^1, ,

1.
School of Mathematical Sciences, Qufu Normal University, 57 JingxuanWest Road, Qufu, 273165, China

Corresponding author: Email address: tomlhd983@163.com
Fund Project: The authors were supported by National Natural Science Foundations of China (Nos. 11671227, 61873144) and National Science Foundation of Shandong Province (No. ZR2018MA018)

Abstract

Abstract

The main aim of this paper is to establish some new half-linear Volterra-Fredholm type integral inequalities on time scales. Our results not only extend and complement some known integral inequalities but also provide an effective tool for the study of qualitative properties of solutions of some dynamic equations.
- Time scales /
- half-linear /
- integral inequality /
- Volterra-Fredholm type
MSC: 26E70, 26D15, 26D10

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References

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